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Finding the Fourth Proportional to 243,721.97, 365,448.98 and 75,196.31

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Solution

The fourth proportional to 243,721.97, 365,448.98 and 75,196.31 is: 112,753.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,721.97 : 365,448.98 = 75,196.31 : x
  2. Step 2: Convert to fraction form
    243,721.97/365,448.98 = 75,196.31/x
  3. Step 3: Cross multiply
    243,721.97x = 365,448.98 × 75,196.31
  4. Step 4: Simplify right side
    243,721.97x = 27,480,412,586.04
  5. Step 5: Solve for x
    x = 27,480,412,586.04/243,721.97
  6. Step 6: Final answer
    x = 112,753.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.