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Finding the Fourth Proportional to 177,285.81, 244,654.42 and 96,713.66

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Solution

The fourth proportional to 177,285.81, 244,654.42 and 96,713.66 is: 133,464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,285.81 : 244,654.42 = 96,713.66 : x
  2. Step 2: Convert to fraction form
    177,285.81/244,654.42 = 96,713.66/x
  3. Step 3: Cross multiply
    177,285.81x = 244,654.42 × 96,713.66
  4. Step 4: Simplify right side
    177,285.81x = 23,661,424,393.38
  5. Step 5: Solve for x
    x = 23,661,424,393.38/177,285.81
  6. Step 6: Final answer
    x = 133,464.85

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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.