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Finding the Fourth Proportional to 144,094.13, 198,892.13 and 83,691.92

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Solution

The fourth proportional to 144,094.13, 198,892.13 and 83,691.92 is: 115,519.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,094.13 : 198,892.13 = 83,691.92 : x
  2. Step 2: Convert to fraction form
    144,094.13/198,892.13 = 83,691.92/x
  3. Step 3: Cross multiply
    144,094.13x = 198,892.13 × 83,691.92
  4. Step 4: Simplify right side
    144,094.13x = 16,645,664,939.05
  5. Step 5: Solve for x
    x = 16,645,664,939.05/144,094.13
  6. Step 6: Final answer
    x = 115,519.38

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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.