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Finding the Fourth Proportional to 206,225.45, 284,292.90 and 144,784.59

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Solution

The fourth proportional to 206,225.45, 284,292.90 and 144,784.59 is: 199,593.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,225.45 : 284,292.90 = 144,784.59 : x
  2. Step 2: Convert to fraction form
    206,225.45/284,292.90 = 144,784.59/x
  3. Step 3: Cross multiply
    206,225.45x = 284,292.90 × 144,784.59
  4. Step 4: Simplify right side
    206,225.45x = 41,161,229,900.31
  5. Step 5: Solve for x
    x = 41,161,229,900.31/206,225.45
  6. Step 6: Final answer
    x = 199,593.36

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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.