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Finding the Fourth Proportional to 165,025.38, 227,737.66 and 89,573.88

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Solution

The fourth proportional to 165,025.38, 227,737.66 and 89,573.88 is: 123,613.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,025.38 : 227,737.66 = 89,573.88 : x
  2. Step 2: Convert to fraction form
    165,025.38/227,737.66 = 89,573.88/x
  3. Step 3: Cross multiply
    165,025.38x = 227,737.66 × 89,573.88
  4. Step 4: Simplify right side
    165,025.38x = 20,399,345,828.32
  5. Step 5: Solve for x
    x = 20,399,345,828.32/165,025.38
  6. Step 6: Final answer
    x = 123,613.38

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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.