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Finding the Fourth Proportional to 144,480.74, 199,398.42 and 83,229.06

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Solution

The fourth proportional to 144,480.74, 199,398.42 and 83,229.06 is: 114,864.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,480.74 : 199,398.42 = 83,229.06 : x
  2. Step 2: Convert to fraction form
    144,480.74/199,398.42 = 83,229.06/x
  3. Step 3: Cross multiply
    144,480.74x = 199,398.42 × 83,229.06
  4. Step 4: Simplify right side
    144,480.74x = 16,595,743,062.09
  5. Step 5: Solve for x
    x = 16,595,743,062.09/144,480.74
  6. Step 6: Final answer
    x = 114,864.74

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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.