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Finding the Fourth Proportional to 105,855.30, 158,731.92 and 61,494.75

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Solution

The fourth proportional to 105,855.30, 158,731.92 and 61,494.75 is: 92,212.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,855.30 : 158,731.92 = 61,494.75 : x
  2. Step 2: Convert to fraction form
    105,855.30/158,731.92 = 61,494.75/x
  3. Step 3: Cross multiply
    105,855.30x = 158,731.92 × 61,494.75
  4. Step 4: Simplify right side
    105,855.30x = 9,761,179,737.42
  5. Step 5: Solve for x
    x = 9,761,179,737.42/105,855.30
  6. Step 6: Final answer
    x = 92,212.48

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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.