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Finding the Fourth Proportional to 126,538.28, 174,630.36 and 72,822.12

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Solution

The fourth proportional to 126,538.28, 174,630.36 and 72,822.12 is: 100,498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,538.28 : 174,630.36 = 72,822.12 : x
  2. Step 2: Convert to fraction form
    126,538.28/174,630.36 = 72,822.12/x
  3. Step 3: Cross multiply
    126,538.28x = 174,630.36 × 72,822.12
  4. Step 4: Simplify right side
    126,538.28x = 12,716,953,031.56
  5. Step 5: Solve for x
    x = 12,716,953,031.56/126,538.28
  6. Step 6: Final answer
    x = 100,498.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.