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Finding the Fourth Proportional to 120,463.83, 180,861.26 and 61,339.23

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Solution

The fourth proportional to 120,463.83, 180,861.26 and 61,339.23 is: 92,093.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,463.83 : 180,861.26 = 61,339.23 : x
  2. Step 2: Convert to fraction form
    120,463.83/180,861.26 = 61,339.23/x
  3. Step 3: Cross multiply
    120,463.83x = 180,861.26 × 61,339.23
  4. Step 4: Simplify right side
    120,463.83x = 11,093,890,118.53
  5. Step 5: Solve for x
    x = 11,093,890,118.53/120,463.83
  6. Step 6: Final answer
    x = 92,093.12

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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.