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Finding the Fourth Proportional to 165,013.76, 227,721.92 and 89,562.24

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Solution

The fourth proportional to 165,013.76, 227,721.92 and 89,562.24 is: 123,597.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,013.76 : 227,721.92 = 89,562.24 : x
  2. Step 2: Convert to fraction form
    165,013.76/227,721.92 = 89,562.24/x
  3. Step 3: Cross multiply
    165,013.76x = 227,721.92 × 89,562.24
  4. Step 4: Simplify right side
    165,013.76x = 20,395,285,252.30
  5. Step 5: Solve for x
    x = 20,395,285,252.30/165,013.76
  6. Step 6: Final answer
    x = 123,597.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.