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Finding the Fourth Proportional to 206,992,627.68, 285,644,821.44 and 114,171,142.56

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Solution

The fourth proportional to 206,992,627.68, 285,644,821.44 and 114,171,142.56 is: 157,553,416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,992,627.68 : 285,644,821.44 = 114,171,142.56 : x
  2. Step 2: Convert to fraction form
    206,992,627.68/285,644,821.44 = 114,171,142.56/x
  3. Step 3: Cross multiply
    206,992,627.68x = 285,644,821.44 × 114,171,142.56
  4. Step 4: Simplify right side
    206,992,627.68x = 32,612,395,630,151,984
  5. Step 5: Solve for x
    x = 32,612,395,630,151,984/206,992,627.68
  6. Step 6: Final answer
    x = 157,553,416.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.