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Finding the Fourth Proportional to 105,896.96, 158,878.72 and 43,596.80

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Solution

The fourth proportional to 105,896.96, 158,878.72 and 43,596.80 is: 65,408.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,896.96 : 158,878.72 = 43,596.80 : x
  2. Step 2: Convert to fraction form
    105,896.96/158,878.72 = 43,596.80/x
  3. Step 3: Cross multiply
    105,896.96x = 158,878.72 × 43,596.80
  4. Step 4: Simplify right side
    105,896.96x = 6,926,603,780.10
  5. Step 5: Solve for x
    x = 6,926,603,780.10/105,896.96
  6. Step 6: Final answer
    x = 65,408.90

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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.