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Finding the Fourth Proportional to 129,352.95, 178,505.17 and 72,764.33

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Solution

The fourth proportional to 129,352.95, 178,505.17 and 72,764.33 is: 100,413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,352.95 : 178,505.17 = 72,764.33 : x
  2. Step 2: Convert to fraction form
    129,352.95/178,505.17 = 72,764.33/x
  3. Step 3: Cross multiply
    129,352.95x = 178,505.17 × 72,764.33
  4. Step 4: Simplify right side
    129,352.95x = 12,988,808,022.15
  5. Step 5: Solve for x
    x = 12,988,808,022.15/129,352.95
  6. Step 6: Final answer
    x = 100,413.70

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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.