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Finding the Fourth Proportional to 83,008.26, 123,864.97 and 74,062.09

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Solution

The fourth proportional to 83,008.26, 123,864.97 and 74,062.09 is: 110,515.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,008.26 : 123,864.97 = 74,062.09 : x
  2. Step 2: Convert to fraction form
    83,008.26/123,864.97 = 74,062.09/x
  3. Step 3: Cross multiply
    83,008.26x = 123,864.97 × 74,062.09
  4. Step 4: Simplify right side
    83,008.26x = 9,173,698,555.99
  5. Step 5: Solve for x
    x = 9,173,698,555.99/83,008.26
  6. Step 6: Final answer
    x = 110,515.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.