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Finding the Fourth Proportional to 224,036.92, 309,170.81 and 123,434.92

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Solution

The fourth proportional to 224,036.92, 309,170.81 and 123,434.92 is: 170,340.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,036.92 : 309,170.81 = 123,434.92 : x
  2. Step 2: Convert to fraction form
    224,036.92/309,170.81 = 123,434.92/x
  3. Step 3: Cross multiply
    224,036.92x = 309,170.81 × 123,434.92
  4. Step 4: Simplify right side
    224,036.92x = 38,162,474,198.69
  5. Step 5: Solve for x
    x = 38,162,474,198.69/224,036.92
  6. Step 6: Final answer
    x = 170,340.11

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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.