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Finding the Fourth Proportional to 185,356.96, 255,792.46 and 100,474

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Solution

The fourth proportional to 185,356.96, 255,792.46 and 100,474 is: 138,654.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,356.96 : 255,792.46 = 100,474 : x
  2. Step 2: Convert to fraction form
    185,356.96/255,792.46 = 100,474/x
  3. Step 3: Cross multiply
    185,356.96x = 255,792.46 × 100,474
  4. Step 4: Simplify right side
    185,356.96x = 25,700,491,626.04
  5. Step 5: Solve for x
    x = 25,700,491,626.04/185,356.96
  6. Step 6: Final answer
    x = 138,654.04

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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.