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Finding the Fourth Proportional to 132,023.60, 198,035.40 and 72,974.60

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Solution

The fourth proportional to 132,023.60, 198,035.40 and 72,974.60 is: 109,461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,023.60 : 198,035.40 = 72,974.60 : x
  2. Step 2: Convert to fraction form
    132,023.60/198,035.40 = 72,974.60/x
  3. Step 3: Cross multiply
    132,023.60x = 198,035.40 × 72,974.60
  4. Step 4: Simplify right side
    132,023.60x = 14,451,554,100.84
  5. Step 5: Solve for x
    x = 14,451,554,100.84/132,023.60
  6. Step 6: Final answer
    x = 109,461.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.