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Finding the Fourth Proportional to 107,957, 148,976.34 and 60,209.96

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Solution

The fourth proportional to 107,957, 148,976.34 and 60,209.96 is: 83,087.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,957 : 148,976.34 = 60,209.96 : x
  2. Step 2: Convert to fraction form
    107,957/148,976.34 = 60,209.96/x
  3. Step 3: Cross multiply
    107,957x = 148,976.34 × 60,209.96
  4. Step 4: Simplify right side
    107,957x = 8,969,859,472.35
  5. Step 5: Solve for x
    x = 8,969,859,472.35/107,957
  6. Step 6: Final answer
    x = 83,087.34

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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.