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Finding the Fourth Proportional to 157,127.52, 235,713.42 and 50,475.70

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Solution

The fourth proportional to 157,127.52, 235,713.42 and 50,475.70 is: 75,720.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,127.52 : 235,713.42 = 50,475.70 : x
  2. Step 2: Convert to fraction form
    157,127.52/235,713.42 = 50,475.70/x
  3. Step 3: Cross multiply
    157,127.52x = 235,713.42 × 50,475.70
  4. Step 4: Simplify right side
    157,127.52x = 11,897,799,873.89
  5. Step 5: Solve for x
    x = 11,897,799,873.89/157,127.52
  6. Step 6: Final answer
    x = 75,720.66

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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.