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Finding the Fourth Proportional to 185,356.92, 255,792.24 and 100,475.40

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Solution

The fourth proportional to 185,356.92, 255,792.24 and 100,475.40 is: 138,655.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,356.92 : 255,792.24 = 100,475.40 : x
  2. Step 2: Convert to fraction form
    185,356.92/255,792.24 = 100,475.40/x
  3. Step 3: Cross multiply
    185,356.92x = 255,792.24 × 100,475.40
  4. Step 4: Simplify right side
    185,356.92x = 25,700,827,630.90
  5. Step 5: Solve for x
    x = 25,700,827,630.90/185,356.92
  6. Step 6: Final answer
    x = 138,655.88

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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.