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Finding the Fourth Proportional to 129,083.14, 178,142.64 and 72,494.50

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Solution

The fourth proportional to 129,083.14, 178,142.64 and 72,494.50 is: 100,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,083.14 : 178,142.64 = 72,494.50 : x
  2. Step 2: Convert to fraction form
    129,083.14/178,142.64 = 72,494.50/x
  3. Step 3: Cross multiply
    129,083.14x = 178,142.64 × 72,494.50
  4. Step 4: Simplify right side
    129,083.14x = 12,914,361,615.48
  5. Step 5: Solve for x
    x = 12,914,361,615.48/129,083.14
  6. Step 6: Final answer
    x = 100,046.85

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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.