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Finding the Fourth Proportional to 227,644.52, 314,181.12 and 127,049

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Solution

The fourth proportional to 227,644.52, 314,181.12 and 127,049 is: 175,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,644.52 : 314,181.12 = 127,049 : x
  2. Step 2: Convert to fraction form
    227,644.52/314,181.12 = 127,049/x
  3. Step 3: Cross multiply
    227,644.52x = 314,181.12 × 127,049
  4. Step 4: Simplify right side
    227,644.52x = 39,916,397,114.88
  5. Step 5: Solve for x
    x = 39,916,397,114.88/227,644.52
  6. Step 6: Final answer
    x = 175,345.30

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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.