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Finding the Fourth Proportional to 224,427.38, 309,709.78 and 123,825.38

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Solution

The fourth proportional to 224,427.38, 309,709.78 and 123,825.38 is: 170,879.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,427.38 : 309,709.78 = 123,825.38 : x
  2. Step 2: Convert to fraction form
    224,427.38/309,709.78 = 123,825.38/x
  3. Step 3: Cross multiply
    224,427.38x = 309,709.78 × 123,825.38
  4. Step 4: Simplify right side
    224,427.38x = 38,349,929,340.10
  5. Step 5: Solve for x
    x = 38,349,929,340.10/224,427.38
  6. Step 6: Final answer
    x = 170,879.02

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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.