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Finding the Fourth Proportional to 129,180.29, 178,263.25 and 71,819.53

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Solution

The fourth proportional to 129,180.29, 178,263.25 and 71,819.53 is: 99,107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,180.29 : 178,263.25 = 71,819.53 : x
  2. Step 2: Convert to fraction form
    129,180.29/178,263.25 = 71,819.53/x
  3. Step 3: Cross multiply
    129,180.29x = 178,263.25 × 71,819.53
  4. Step 4: Simplify right side
    129,180.29x = 12,802,782,206.07
  5. Step 5: Solve for x
    x = 12,802,782,206.07/129,180.29
  6. Step 6: Final answer
    x = 99,107.86

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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.