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Finding the Fourth Proportional to 132,178.24, 198,464.24 and 53,446.24

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Solution

The fourth proportional to 132,178.24, 198,464.24 and 53,446.24 is: 80,248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,178.24 : 198,464.24 = 53,446.24 : x
  2. Step 2: Convert to fraction form
    132,178.24/198,464.24 = 53,446.24/x
  3. Step 3: Cross multiply
    132,178.24x = 198,464.24 × 53,446.24
  4. Step 4: Simplify right side
    132,178.24x = 10,607,167,402.46
  5. Step 5: Solve for x
    x = 10,607,167,402.46/132,178.24
  6. Step 6: Final answer
    x = 80,248.97

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1.5x scale

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.