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Finding the Fourth Proportional to 224,978.24, 337,633.16 and 106,649.12

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Solution

The fourth proportional to 224,978.24, 337,633.16 and 106,649.12 is: 160,052.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,978.24 : 337,633.16 = 106,649.12 : x
  2. Step 2: Convert to fraction form
    224,978.24/337,633.16 = 106,649.12/x
  3. Step 3: Cross multiply
    224,978.24x = 337,633.16 × 106,649.12
  4. Step 4: Simplify right side
    224,978.24x = 36,008,277,175.41
  5. Step 5: Solve for x
    x = 36,008,277,175.41/224,978.24
  6. Step 6: Final answer
    x = 160,052.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.