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Finding the Fourth Proportional to 127,680.78, 176,188.59 and 71,097.42

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Solution

The fourth proportional to 127,680.78, 176,188.59 and 71,097.42 is: 98,108.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,680.78 : 176,188.59 = 71,097.42 : x
  2. Step 2: Convert to fraction form
    127,680.78/176,188.59 = 71,097.42/x
  3. Step 3: Cross multiply
    127,680.78x = 176,188.59 × 71,097.42
  4. Step 4: Simplify right side
    127,680.78x = 12,526,554,182.44
  5. Step 5: Solve for x
    x = 12,526,554,182.44/127,680.78
  6. Step 6: Final answer
    x = 98,108.38

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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.