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Finding the Fourth Proportional to 157,273.92, 235,948.14 and 68,543.28

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Solution

The fourth proportional to 157,273.92, 235,948.14 and 68,543.28 is: 102,831.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,273.92 : 235,948.14 = 68,543.28 : x
  2. Step 2: Convert to fraction form
    157,273.92/235,948.14 = 68,543.28/x
  3. Step 3: Cross multiply
    157,273.92x = 235,948.14 × 68,543.28
  4. Step 4: Simplify right side
    157,273.92x = 16,172,659,425.50
  5. Step 5: Solve for x
    x = 16,172,659,425.50/157,273.92
  6. Step 6: Final answer
    x = 102,831.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.