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Finding the Fourth Proportional to 224,037.29, 309,171.33 and 123,435.29

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Solution

The fourth proportional to 224,037.29, 309,171.33 and 123,435.29 is: 170,340.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,037.29 : 309,171.33 = 123,435.29 : x
  2. Step 2: Convert to fraction form
    224,037.29/309,171.33 = 123,435.29/x
  3. Step 3: Cross multiply
    224,037.29x = 309,171.33 × 123,435.29
  4. Step 4: Simplify right side
    224,037.29x = 38,162,653,551.16
  5. Step 5: Solve for x
    x = 38,162,653,551.16/224,037.29
  6. Step 6: Final answer
    x = 170,340.63

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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.