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Finding the Fourth Proportional to 129,106.36, 178,166.88 and 72,517.78

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Solution

The fourth proportional to 129,106.36, 178,166.88 and 72,517.78 is: 100,074.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,106.36 : 178,166.88 = 72,517.78 : x
  2. Step 2: Convert to fraction form
    129,106.36/178,166.88 = 72,517.78/x
  3. Step 3: Cross multiply
    129,106.36x = 178,166.88 × 72,517.78
  4. Step 4: Simplify right side
    129,106.36x = 12,920,266,607.13
  5. Step 5: Solve for x
    x = 12,920,266,607.13/129,106.36
  6. Step 6: Final answer
    x = 100,074.59

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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.