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Finding the Fourth Proportional to 224,175.97, 309,347.37 and 126,073.87

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Solution

The fourth proportional to 224,175.97, 309,347.37 and 126,073.87 is: 173,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,175.97 : 309,347.37 = 126,073.87 : x
  2. Step 2: Convert to fraction form
    224,175.97/309,347.37 = 126,073.87/x
  3. Step 3: Cross multiply
    224,175.97x = 309,347.37 × 126,073.87
  4. Step 4: Simplify right side
    224,175.97x = 39,000,619,652.04
  5. Step 5: Solve for x
    x = 39,000,619,652.04/224,175.97
  6. Step 6: Final answer
    x = 173,973.24

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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.