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Finding the Fourth Proportional to 102,715.39, 141,753.81 and 57,393.49

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Solution

The fourth proportional to 102,715.39, 141,753.81 and 57,393.49 is: 79,206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,715.39 : 141,753.81 = 57,393.49 : x
  2. Step 2: Convert to fraction form
    102,715.39/141,753.81 = 57,393.49/x
  3. Step 3: Cross multiply
    102,715.39x = 141,753.81 × 57,393.49
  4. Step 4: Simplify right side
    102,715.39x = 8,135,745,876.70
  5. Step 5: Solve for x
    x = 8,135,745,876.70/102,715.39
  6. Step 6: Final answer
    x = 79,206.69

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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.