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Finding the Fourth Proportional to 165,142.68, 227,895.90 and 89,690.52

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Solution

The fourth proportional to 165,142.68, 227,895.90 and 89,690.52 is: 123,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,142.68 : 227,895.90 = 89,690.52 : x
  2. Step 2: Convert to fraction form
    165,142.68/227,895.90 = 89,690.52/x
  3. Step 3: Cross multiply
    165,142.68x = 227,895.90 × 89,690.52
  4. Step 4: Simplify right side
    165,142.68x = 20,440,101,776.87
  5. Step 5: Solve for x
    x = 20,440,101,776.87/165,142.68
  6. Step 6: Final answer
    x = 123,772.38

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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.