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Finding the Fourth Proportional to 130,734.94, 180,414.60 and 72,591.80

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Solution

The fourth proportional to 130,734.94, 180,414.60 and 72,591.80 is: 100,176.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,734.94 : 180,414.60 = 72,591.80 : x
  2. Step 2: Convert to fraction form
    130,734.94/180,414.60 = 72,591.80/x
  3. Step 3: Cross multiply
    130,734.94x = 180,414.60 × 72,591.80
  4. Step 4: Simplify right side
    130,734.94x = 13,096,620,197.32
  5. Step 5: Solve for x
    x = 13,096,620,197.32/130,734.94
  6. Step 6: Final answer
    x = 100,176.89

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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.