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Finding the Fourth Proportional to 132,564.30, 198,857.52 and 57,687

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Solution

The fourth proportional to 132,564.30, 198,857.52 and 57,687 is: 86,535.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,564.30 : 198,857.52 = 57,687 : x
  2. Step 2: Convert to fraction form
    132,564.30/198,857.52 = 57,687/x
  3. Step 3: Cross multiply
    132,564.30x = 198,857.52 × 57,687
  4. Step 4: Simplify right side
    132,564.30x = 11,471,493,756.24
  5. Step 5: Solve for x
    x = 11,471,493,756.24/132,564.30
  6. Step 6: Final answer
    x = 86,535.32

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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.