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Finding the Fourth Proportional to 177,955.31, 266,936.31 and 83,159.49

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Solution

The fourth proportional to 177,955.31, 266,936.31 and 83,159.49 is: 124,740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,955.31 : 266,936.31 = 83,159.49 : x
  2. Step 2: Convert to fraction form
    177,955.31/266,936.31 = 83,159.49/x
  3. Step 3: Cross multiply
    177,955.31x = 266,936.31 × 83,159.49
  4. Step 4: Simplify right side
    177,955.31x = 22,198,288,403.09
  5. Step 5: Solve for x
    x = 22,198,288,403.09/177,955.31
  6. Step 6: Final answer
    x = 124,740.80

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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.