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Finding the Fourth Proportional to 157,143.12, 216,862.38 and 89,162.97

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Solution

The fourth proportional to 157,143.12, 216,862.38 and 89,162.97 is: 123,047.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,143.12 : 216,862.38 = 89,162.97 : x
  2. Step 2: Convert to fraction form
    157,143.12/216,862.38 = 89,162.97/x
  3. Step 3: Cross multiply
    157,143.12x = 216,862.38 × 89,162.97
  4. Step 4: Simplify right side
    157,143.12x = 19,336,093,882.07
  5. Step 5: Solve for x
    x = 19,336,093,882.07/157,143.12
  6. Step 6: Final answer
    x = 123,047.66

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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.