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Finding the Fourth Proportional to 127,730.39, 176,267.97 and 71,141.76

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Solution

The fourth proportional to 127,730.39, 176,267.97 and 71,141.76 is: 98,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,730.39 : 176,267.97 = 71,141.76 : x
  2. Step 2: Convert to fraction form
    127,730.39/176,267.97 = 71,141.76/x
  3. Step 3: Cross multiply
    127,730.39x = 176,267.97 × 71,141.76
  4. Step 4: Simplify right side
    127,730.39x = 12,540,013,617.43
  5. Step 5: Solve for x
    x = 12,540,013,617.43/127,730.39
  6. Step 6: Final answer
    x = 98,175.65

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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.