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Finding the Fourth Proportional to 257,288.38, 355,057.96 and 156,686.38

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Solution

The fourth proportional to 257,288.38, 355,057.96 and 156,686.38 is: 216,227.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,288.38 : 355,057.96 = 156,686.38 : x
  2. Step 2: Convert to fraction form
    257,288.38/355,057.96 = 156,686.38/x
  3. Step 3: Cross multiply
    257,288.38x = 355,057.96 × 156,686.38
  4. Step 4: Simplify right side
    257,288.38x = 55,632,746,442.58
  5. Step 5: Solve for x
    x = 55,632,746,442.58/257,288.38
  6. Step 6: Final answer
    x = 216,227.20

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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.