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Finding the Fourth Proportional to 102,399.96, 141,320.16 and 57,092.62

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Solution

The fourth proportional to 102,399.96, 141,320.16 and 57,092.62 is: 78,792.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,399.96 : 141,320.16 = 57,092.62 : x
  2. Step 2: Convert to fraction form
    102,399.96/141,320.16 = 57,092.62/x
  3. Step 3: Cross multiply
    102,399.96x = 141,320.16 × 57,092.62
  4. Step 4: Simplify right side
    102,399.96x = 8,068,338,193.22
  5. Step 5: Solve for x
    x = 8,068,338,193.22/102,399.96
  6. Step 6: Final answer
    x = 78,792.40

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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.