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Finding the Fourth Proportional to 102,586.53, 141,593.02 and 60,158.73

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Solution

The fourth proportional to 102,586.53, 141,593.02 and 60,158.73 is: 83,032.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,586.53 : 141,593.02 = 60,158.73 : x
  2. Step 2: Convert to fraction form
    102,586.53/141,593.02 = 60,158.73/x
  3. Step 3: Cross multiply
    102,586.53x = 141,593.02 × 60,158.73
  4. Step 4: Simplify right side
    102,586.53x = 8,518,056,260.06
  5. Step 5: Solve for x
    x = 8,518,056,260.06/102,586.53
  6. Step 6: Final answer
    x = 83,032.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.