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Finding the Fourth Proportional to 102,327.68, 141,217.08 and 57,008.72

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Solution

The fourth proportional to 102,327.68, 141,217.08 and 57,008.72 is: 78,674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,327.68 : 141,217.08 = 57,008.72 : x
  2. Step 2: Convert to fraction form
    102,327.68/141,217.08 = 57,008.72/x
  3. Step 3: Cross multiply
    102,327.68x = 141,217.08 × 57,008.72
  4. Step 4: Simplify right side
    102,327.68x = 8,050,604,972.94
  5. Step 5: Solve for x
    x = 8,050,604,972.94/102,327.68
  6. Step 6: Final answer
    x = 78,674.75

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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.