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Finding the Fourth Proportional to 132,178.24, 198,298.56 and 43,432

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Solution

The fourth proportional to 132,178.24, 198,298.56 and 43,432 is: 65,158.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,178.24 : 198,298.56 = 43,432 : x
  2. Step 2: Convert to fraction form
    132,178.24/198,298.56 = 43,432/x
  3. Step 3: Cross multiply
    132,178.24x = 198,298.56 × 43,432
  4. Step 4: Simplify right side
    132,178.24x = 8,612,503,057.92
  5. Step 5: Solve for x
    x = 8,612,503,057.92/132,178.24
  6. Step 6: Final answer
    x = 65,158.25

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