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Finding the Fourth Proportional to 157,201.16, 235,729.35 and 50,565.42

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Solution

The fourth proportional to 157,201.16, 235,729.35 and 50,565.42 is: 75,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,201.16 : 235,729.35 = 50,565.42 : x
  2. Step 2: Convert to fraction form
    157,201.16/235,729.35 = 50,565.42/x
  3. Step 3: Cross multiply
    157,201.16x = 235,729.35 × 50,565.42
  4. Step 4: Simplify right side
    157,201.16x = 11,919,753,589.08
  5. Step 5: Solve for x
    x = 11,919,753,589.08/157,201.16
  6. Step 6: Final answer
    x = 75,824.85

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