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Finding the Fourth Proportional to 127,751.82, 176,302.96 and 71,163.22

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Solution

The fourth proportional to 127,751.82, 176,302.96 and 71,163.22 is: 98,208.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,751.82 : 176,302.96 = 71,163.22 : x
  2. Step 2: Convert to fraction form
    127,751.82/176,302.96 = 71,163.22/x
  3. Step 3: Cross multiply
    127,751.82x = 176,302.96 × 71,163.22
  4. Step 4: Simplify right side
    127,751.82x = 12,546,286,329.13
  5. Step 5: Solve for x
    x = 12,546,286,329.13/127,751.82
  6. Step 6: Final answer
    x = 98,208.28

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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.