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Finding the Fourth Proportional to 224,037.48, 309,171.56 and 123,435.48

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Solution

The fourth proportional to 224,037.48, 309,171.56 and 123,435.48 is: 170,340.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,037.48 : 309,171.56 = 123,435.48 : x
  2. Step 2: Convert to fraction form
    224,037.48/309,171.56 = 123,435.48/x
  3. Step 3: Cross multiply
    224,037.48x = 309,171.56 × 123,435.48
  4. Step 4: Simplify right side
    224,037.48x = 38,162,739,293.77
  5. Step 5: Solve for x
    x = 38,162,739,293.77/224,037.48
  6. Step 6: Final answer
    x = 170,340.87

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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.