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Finding the Fourth Proportional to 134,843.81, 202,206.92 and 71,648.69

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Solution

The fourth proportional to 134,843.81, 202,206.92 and 71,648.69 is: 107,441.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,843.81 : 202,206.92 = 71,648.69 : x
  2. Step 2: Convert to fraction form
    134,843.81/202,206.92 = 71,648.69/x
  3. Step 3: Cross multiply
    134,843.81x = 202,206.92 × 71,648.69
  4. Step 4: Simplify right side
    134,843.81x = 14,487,859,557.66
  5. Step 5: Solve for x
    x = 14,487,859,557.66/134,843.81
  6. Step 6: Final answer
    x = 107,441.79

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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.