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Finding the Fourth Proportional to 165,004.68, 227,705.12 and 89,553.20

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Solution

The fourth proportional to 165,004.68, 227,705.12 and 89,553.20 is: 123,582.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,004.68 : 227,705.12 = 89,553.20 : x
  2. Step 2: Convert to fraction form
    165,004.68/227,705.12 = 89,553.20/x
  3. Step 3: Cross multiply
    165,004.68x = 227,705.12 × 89,553.20
  4. Step 4: Simplify right side
    165,004.68x = 20,391,722,152.38
  5. Step 5: Solve for x
    x = 20,391,722,152.38/165,004.68
  6. Step 6: Final answer
    x = 123,582.69

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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.