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Finding the Fourth Proportional to 165,140.88, 227,894.48 and 89,689.38

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Solution

The fourth proportional to 165,140.88, 227,894.48 and 89,689.38 is: 123,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,140.88 : 227,894.48 = 89,689.38 : x
  2. Step 2: Convert to fraction form
    165,140.88/227,894.48 = 89,689.38/x
  3. Step 3: Cross multiply
    165,140.88x = 227,894.48 × 89,689.38
  4. Step 4: Simplify right side
    165,140.88x = 20,439,713,649.91
  5. Step 5: Solve for x
    x = 20,439,713,649.91/165,140.88
  6. Step 6: Final answer
    x = 123,771.38

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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.