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Finding the Fourth Proportional to 127,967.24, 176,608.50 and 71,398.28

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Solution

The fourth proportional to 127,967.24, 176,608.50 and 71,398.28 is: 98,537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,967.24 : 176,608.50 = 71,398.28 : x
  2. Step 2: Convert to fraction form
    127,967.24/176,608.50 = 71,398.28/x
  3. Step 3: Cross multiply
    127,967.24x = 176,608.50 × 71,398.28
  4. Step 4: Simplify right side
    127,967.24x = 12,609,543,133.38
  5. Step 5: Solve for x
    x = 12,609,543,133.38/127,967.24
  6. Step 6: Final answer
    x = 98,537.28

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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.