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Finding the Fourth Proportional to 126,638.50, 174,764.22 and 69,283.24

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Solution

The fourth proportional to 126,638.50, 174,764.22 and 69,283.24 is: 95,612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,638.50 : 174,764.22 = 69,283.24 : x
  2. Step 2: Convert to fraction form
    126,638.50/174,764.22 = 69,283.24/x
  3. Step 3: Cross multiply
    126,638.50x = 174,764.22 × 69,283.24
  4. Step 4: Simplify right side
    126,638.50x = 12,108,231,397.67
  5. Step 5: Solve for x
    x = 12,108,231,397.67/126,638.50
  6. Step 6: Final answer
    x = 95,612.56

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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.