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Finding the Fourth Proportional to 203,856.59, 281,462.82 and 127,410.04

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Solution

The fourth proportional to 203,856.59, 281,462.82 and 127,410.04 is: 175,913.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,856.59 : 281,462.82 = 127,410.04 : x
  2. Step 2: Convert to fraction form
    203,856.59/281,462.82 = 127,410.04/x
  3. Step 3: Cross multiply
    203,856.59x = 281,462.82 × 127,410.04
  4. Step 4: Simplify right side
    203,856.59x = 35,861,189,154.71
  5. Step 5: Solve for x
    x = 35,861,189,154.71/203,856.59
  6. Step 6: Final answer
    x = 175,913.81

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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.