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Finding the Fourth Proportional to 102,809.40, 141,861.96 and 60,381.60

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Solution

The fourth proportional to 102,809.40, 141,861.96 and 60,381.60 is: 83,317.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,809.40 : 141,861.96 = 60,381.60 : x
  2. Step 2: Convert to fraction form
    102,809.40/141,861.96 = 60,381.60/x
  3. Step 3: Cross multiply
    102,809.40x = 141,861.96 × 60,381.60
  4. Step 4: Simplify right side
    102,809.40x = 8,565,852,123.94
  5. Step 5: Solve for x
    x = 8,565,852,123.94/102,809.40
  6. Step 6: Final answer
    x = 83,317.79

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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.