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Finding the Fourth Proportional to 127,704.24, 176,229 and 71,120.88

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Solution

The fourth proportional to 127,704.24, 176,229 and 71,120.88 is: 98,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,704.24 : 176,229 = 71,120.88 : x
  2. Step 2: Convert to fraction form
    127,704.24/176,229 = 71,120.88/x
  3. Step 3: Cross multiply
    127,704.24x = 176,229 × 71,120.88
  4. Step 4: Simplify right side
    127,704.24x = 12,533,561,561.52
  5. Step 5: Solve for x
    x = 12,533,561,561.52/127,704.24
  6. Step 6: Final answer
    x = 98,145.23

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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.