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Finding the Fourth Proportional to 105,855.49, 158,732.20 and 61,494.93

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Solution

The fourth proportional to 105,855.49, 158,732.20 and 61,494.93 is: 92,212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,855.49 : 158,732.20 = 61,494.93 : x
  2. Step 2: Convert to fraction form
    105,855.49/158,732.20 = 61,494.93/x
  3. Step 3: Cross multiply
    105,855.49x = 158,732.20 × 61,494.93
  4. Step 4: Simplify right side
    105,855.49x = 9,761,225,527.75
  5. Step 5: Solve for x
    x = 9,761,225,527.75/105,855.49
  6. Step 6: Final answer
    x = 92,212.75

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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.