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Finding the Fourth Proportional to 102,382.40, 141,299.15 and 57,064.52

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Solution

The fourth proportional to 102,382.40, 141,299.15 and 57,064.52 is: 78,755.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,382.40 : 141,299.15 = 57,064.52 : x
  2. Step 2: Convert to fraction form
    102,382.40/141,299.15 = 57,064.52/x
  3. Step 3: Cross multiply
    102,382.40x = 141,299.15 × 57,064.52
  4. Step 4: Simplify right side
    102,382.40x = 8,063,167,179.34
  5. Step 5: Solve for x
    x = 8,063,167,179.34/102,382.40
  6. Step 6: Final answer
    x = 78,755.41

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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.