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Finding the Fourth Proportional to 275,134.16, 412,689.72 and 88,141.52

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Solution

The fourth proportional to 275,134.16, 412,689.72 and 88,141.52 is: 132,208.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,134.16 : 412,689.72 = 88,141.52 : x
  2. Step 2: Convert to fraction form
    275,134.16/412,689.72 = 88,141.52/x
  3. Step 3: Cross multiply
    275,134.16x = 412,689.72 × 88,141.52
  4. Step 4: Simplify right side
    275,134.16x = 36,375,099,209.17
  5. Step 5: Solve for x
    x = 36,375,099,209.17/275,134.16
  6. Step 6: Final answer
    x = 132,208.59

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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.