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Finding the Fourth Proportional to 104,976.13, 144,864.18 and 57,229.47

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Solution

The fourth proportional to 104,976.13, 144,864.18 and 57,229.47 is: 78,975.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,976.13 : 144,864.18 = 57,229.47 : x
  2. Step 2: Convert to fraction form
    104,976.13/144,864.18 = 57,229.47/x
  3. Step 3: Cross multiply
    104,976.13x = 144,864.18 × 57,229.47
  4. Step 4: Simplify right side
    104,976.13x = 8,290,500,243.38
  5. Step 5: Solve for x
    x = 8,290,500,243.38/104,976.13
  6. Step 6: Final answer
    x = 78,975.10

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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.