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Finding the Fourth Proportional to 157,138.60, 235,685.76 and 82,234.12

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Solution

The fourth proportional to 157,138.60, 235,685.76 and 82,234.12 is: 123,339.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,138.60 : 235,685.76 = 82,234.12 : x
  2. Step 2: Convert to fraction form
    157,138.60/235,685.76 = 82,234.12/x
  3. Step 3: Cross multiply
    157,138.60x = 235,685.76 × 82,234.12
  4. Step 4: Simplify right side
    157,138.60x = 19,381,411,070.13
  5. Step 5: Solve for x
    x = 19,381,411,070.13/157,138.60
  6. Step 6: Final answer
    x = 123,339.59

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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.