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Finding the Fourth Proportional to 257,053.38, 354,735.45 and 149,686.02

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Solution

The fourth proportional to 257,053.38, 354,735.45 and 149,686.02 is: 206,567.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,053.38 : 354,735.45 = 149,686.02 : x
  2. Step 2: Convert to fraction form
    257,053.38/354,735.45 = 149,686.02/x
  3. Step 3: Cross multiply
    257,053.38x = 354,735.45 × 149,686.02
  4. Step 4: Simplify right side
    257,053.38x = 53,098,937,663.41
  5. Step 5: Solve for x
    x = 53,098,937,663.41/257,053.38
  6. Step 6: Final answer
    x = 206,567.75

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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.