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Finding the Fourth Proportional to 157,089.90, 235,375.65 and 133,761.90

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Solution

The fourth proportional to 157,089.90, 235,375.65 and 133,761.90 is: 200,422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,089.90 : 235,375.65 = 133,761.90 : x
  2. Step 2: Convert to fraction form
    157,089.90/235,375.65 = 133,761.90/x
  3. Step 3: Cross multiply
    157,089.90x = 235,375.65 × 133,761.90
  4. Step 4: Simplify right side
    157,089.90x = 31,484,294,157.74
  5. Step 5: Solve for x
    x = 31,484,294,157.74/157,089.90
  6. Step 6: Final answer
    x = 200,422.14

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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.