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Finding the Fourth Proportional to 148,608.25, 205,079.36 and 84,947.42

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Solution

The fourth proportional to 148,608.25, 205,079.36 and 84,947.42 is: 117,227.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,608.25 : 205,079.36 = 84,947.42 : x
  2. Step 2: Convert to fraction form
    148,608.25/205,079.36 = 84,947.42/x
  3. Step 3: Cross multiply
    148,608.25x = 205,079.36 × 84,947.42
  4. Step 4: Simplify right side
    148,608.25x = 17,420,962,527.25
  5. Step 5: Solve for x
    x = 17,420,962,527.25/148,608.25
  6. Step 6: Final answer
    x = 117,227.43

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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.