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Finding the Fourth Proportional to 106,156.92, 159,231.25 and 39,596.92

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Solution

The fourth proportional to 106,156.92, 159,231.25 and 39,596.92 is: 59,393.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,156.92 : 159,231.25 = 39,596.92 : x
  2. Step 2: Convert to fraction form
    106,156.92/159,231.25 = 39,596.92/x
  3. Step 3: Cross multiply
    106,156.92x = 159,231.25 × 39,596.92
  4. Step 4: Simplify right side
    106,156.92x = 6,305,067,067.75
  5. Step 5: Solve for x
    x = 6,305,067,067.75/106,156.92
  6. Step 6: Final answer
    x = 59,393.84

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1.5x scale

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.