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Finding the Fourth Proportional to 102,501.68, 141,452.52 and 57,178.52

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Solution

The fourth proportional to 102,501.68, 141,452.52 and 57,178.52 is: 78,906.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,501.68 : 141,452.52 = 57,178.52 : x
  2. Step 2: Convert to fraction form
    102,501.68/141,452.52 = 57,178.52/x
  3. Step 3: Cross multiply
    102,501.68x = 141,452.52 × 57,178.52
  4. Step 4: Simplify right side
    102,501.68x = 8,088,045,743.87
  5. Step 5: Solve for x
    x = 8,088,045,743.87/102,501.68
  6. Step 6: Final answer
    x = 78,906.47

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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.