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Finding the Fourth Proportional to 102,708.93, 141,724.23 and 57,381.29

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Solution

The fourth proportional to 102,708.93, 141,724.23 and 57,381.29 is: 79,178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,708.93 : 141,724.23 = 57,381.29 : x
  2. Step 2: Convert to fraction form
    102,708.93/141,724.23 = 57,381.29/x
  3. Step 3: Cross multiply
    102,708.93x = 141,724.23 × 57,381.29
  4. Step 4: Simplify right side
    102,708.93x = 8,132,318,433.04
  5. Step 5: Solve for x
    x = 8,132,318,433.04/102,708.93
  6. Step 6: Final answer
    x = 79,178.30

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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.