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Finding the Fourth Proportional to 165,038.88, 227,753.46 and 89,587.38

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Solution

The fourth proportional to 165,038.88, 227,753.46 and 89,587.38 is: 123,630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,038.88 : 227,753.46 = 89,587.38 : x
  2. Step 2: Convert to fraction form
    165,038.88/227,753.46 = 89,587.38/x
  3. Step 3: Cross multiply
    165,038.88x = 227,753.46 × 89,587.38
  4. Step 4: Simplify right side
    165,038.88x = 20,403,835,767.33
  5. Step 5: Solve for x
    x = 20,403,835,767.33/165,038.88
  6. Step 6: Final answer
    x = 123,630.48

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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.