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Finding the Fourth Proportional to 157,008.97, 235,989.26 and 103,882.15

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Solution

The fourth proportional to 157,008.97, 235,989.26 and 103,882.15 is: 156,138.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,008.97 : 235,989.26 = 103,882.15 : x
  2. Step 2: Convert to fraction form
    157,008.97/235,989.26 = 103,882.15/x
  3. Step 3: Cross multiply
    157,008.97x = 235,989.26 × 103,882.15
  4. Step 4: Simplify right side
    157,008.97x = 24,515,071,705.71
  5. Step 5: Solve for x
    x = 24,515,071,705.71/157,008.97
  6. Step 6: Final answer
    x = 156,138.03

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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.