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Finding the Fourth Proportional to 127,729.32, 176,271.87 and 71,140.69

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Solution

The fourth proportional to 127,729.32, 176,271.87 and 71,140.69 is: 98,177.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,729.32 : 176,271.87 = 71,140.69 : x
  2. Step 2: Convert to fraction form
    127,729.32/176,271.87 = 71,140.69/x
  3. Step 3: Cross multiply
    127,729.32x = 176,271.87 × 71,140.69
  4. Step 4: Simplify right side
    127,729.32x = 12,540,102,459.39
  5. Step 5: Solve for x
    x = 12,540,102,459.39/127,729.32
  6. Step 6: Final answer
    x = 98,177.16

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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.