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Finding the Fourth Proportional to 123,498.38, 170,326.32 and 75,718.10

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Solution

The fourth proportional to 123,498.38, 170,326.32 and 75,718.10 is: 104,428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,498.38 : 170,326.32 = 75,718.10 : x
  2. Step 2: Convert to fraction form
    123,498.38/170,326.32 = 75,718.10/x
  3. Step 3: Cross multiply
    123,498.38x = 170,326.32 × 75,718.10
  4. Step 4: Simplify right side
    123,498.38x = 12,896,785,330.39
  5. Step 5: Solve for x
    x = 12,896,785,330.39/123,498.38
  6. Step 6: Final answer
    x = 104,428.78

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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.