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Finding the Fourth Proportional to 157,052.96, 235,489.92 and 107,193.41

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Solution

The fourth proportional to 157,052.96, 235,489.92 and 107,193.41 is: 160,729.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,052.96 : 235,489.92 = 107,193.41 : x
  2. Step 2: Convert to fraction form
    157,052.96/235,489.92 = 107,193.41/x
  3. Step 3: Cross multiply
    157,052.96x = 235,489.92 × 107,193.41
  4. Step 4: Simplify right side
    157,052.96x = 25,242,967,545.43
  5. Step 5: Solve for x
    x = 25,242,967,545.43/157,052.96
  6. Step 6: Final answer
    x = 160,729.01

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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.