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Finding the Fourth Proportional to 149,952.78, 206,852.94 and 96,177.96

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Solution

The fourth proportional to 149,952.78, 206,852.94 and 96,177.96 is: 132,673.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,952.78 : 206,852.94 = 96,177.96 : x
  2. Step 2: Convert to fraction form
    149,952.78/206,852.94 = 96,177.96/x
  3. Step 3: Cross multiply
    149,952.78x = 206,852.94 × 96,177.96
  4. Step 4: Simplify right side
    149,952.78x = 19,894,693,789.20
  5. Step 5: Solve for x
    x = 19,894,693,789.20/149,952.78
  6. Step 6: Final answer
    x = 132,673.06

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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.