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Finding the Fourth Proportional to 177,755.20, 266,632.80 and 127,988.80

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Solution

The fourth proportional to 177,755.20, 266,632.80 and 127,988.80 is: 191,983.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,755.20 : 266,632.80 = 127,988.80 : x
  2. Step 2: Convert to fraction form
    177,755.20/266,632.80 = 127,988.80/x
  3. Step 3: Cross multiply
    177,755.20x = 266,632.80 × 127,988.80
  4. Step 4: Simplify right side
    177,755.20x = 34,126,012,112.64
  5. Step 5: Solve for x
    x = 34,126,012,112.64/177,755.20
  6. Step 6: Final answer
    x = 191,983.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.