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Finding the Fourth Proportional to 243,687.14, 365,535.73 and 75,207.58

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Solution

The fourth proportional to 243,687.14, 365,535.73 and 75,207.58 is: 112,812.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,687.14 : 365,535.73 = 75,207.58 : x
  2. Step 2: Convert to fraction form
    243,687.14/365,535.73 = 75,207.58/x
  3. Step 3: Cross multiply
    243,687.14x = 365,535.73 × 75,207.58
  4. Step 4: Simplify right side
    243,687.14x = 27,491,055,829.15
  5. Step 5: Solve for x
    x = 27,491,055,829.15/243,687.14
  6. Step 6: Final answer
    x = 112,812.91

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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.