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Finding the Fourth Proportional to 224,540.34, 309,917.68 and 148,073.18

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Solution

The fourth proportional to 224,540.34, 309,917.68 and 148,073.18 is: 204,375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,540.34 : 309,917.68 = 148,073.18 : x
  2. Step 2: Convert to fraction form
    224,540.34/309,917.68 = 148,073.18/x
  3. Step 3: Cross multiply
    224,540.34x = 309,917.68 × 148,073.18
  4. Step 4: Simplify right side
    224,540.34x = 45,890,496,415.82
  5. Step 5: Solve for x
    x = 45,890,496,415.82/224,540.34
  6. Step 6: Final answer
    x = 204,375.29

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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.