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Finding the Fourth Proportional to 103,217.26, 142,432.92 and 57,894.78

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Solution

The fourth proportional to 103,217.26, 142,432.92 and 57,894.78 is: 79,890.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,217.26 : 142,432.92 = 57,894.78 : x
  2. Step 2: Convert to fraction form
    103,217.26/142,432.92 = 57,894.78/x
  3. Step 3: Cross multiply
    103,217.26x = 142,432.92 × 57,894.78
  4. Step 4: Simplify right side
    103,217.26x = 8,246,122,568.16
  5. Step 5: Solve for x
    x = 8,246,122,568.16/103,217.26
  6. Step 6: Final answer
    x = 79,890.93

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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.