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Finding the Fourth Proportional to 129,217.57, 178,311.47 and 78,258.60

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Solution

The fourth proportional to 129,217.57, 178,311.47 and 78,258.60 is: 107,991.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,217.57 : 178,311.47 = 78,258.60 : x
  2. Step 2: Convert to fraction form
    129,217.57/178,311.47 = 78,258.60/x
  3. Step 3: Cross multiply
    129,217.57x = 178,311.47 × 78,258.60
  4. Step 4: Simplify right side
    129,217.57x = 13,954,405,614.85
  5. Step 5: Solve for x
    x = 13,954,405,614.85/129,217.57
  6. Step 6: Final answer
    x = 107,991.55

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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.