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Finding the Fourth Proportional to 224,442, 309,736.44 and 123,846.48

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Solution

The fourth proportional to 224,442, 309,736.44 and 123,846.48 is: 170,911.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,442 : 309,736.44 = 123,846.48 : x
  2. Step 2: Convert to fraction form
    224,442/309,736.44 = 123,846.48/x
  3. Step 3: Cross multiply
    224,442x = 309,736.44 × 123,846.48
  4. Step 4: Simplify right side
    224,442x = 38,359,767,821.73
  5. Step 5: Solve for x
    x = 38,359,767,821.73/224,442
  6. Step 6: Final answer
    x = 170,911.72

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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.