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Finding the Fourth Proportional to 106,685.75, 160,129.07 and 54,132.95

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Solution

The fourth proportional to 106,685.75, 160,129.07 and 54,132.95 is: 81,250.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,685.75 : 160,129.07 = 54,132.95 : x
  2. Step 2: Convert to fraction form
    106,685.75/160,129.07 = 54,132.95/x
  3. Step 3: Cross multiply
    106,685.75x = 160,129.07 × 54,132.95
  4. Step 4: Simplify right side
    106,685.75x = 8,668,257,868.55
  5. Step 5: Solve for x
    x = 8,668,257,868.55/106,685.75
  6. Step 6: Final answer
    x = 81,250.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.