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Finding the Fourth Proportional to 177,203.92, 244,532.13 and 100,712.80

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Solution

The fourth proportional to 177,203.92, 244,532.13 and 100,712.80 is: 138,978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,203.92 : 244,532.13 = 100,712.80 : x
  2. Step 2: Convert to fraction form
    177,203.92/244,532.13 = 100,712.80/x
  3. Step 3: Cross multiply
    177,203.92x = 244,532.13 × 100,712.80
  4. Step 4: Simplify right side
    177,203.92x = 24,627,515,502.26
  5. Step 5: Solve for x
    x = 24,627,515,502.26/177,203.92
  6. Step 6: Final answer
    x = 138,978.39

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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.