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Finding the Fourth Proportional to 120,064.80, 180,123.94 and 35,826.42

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Solution

The fourth proportional to 120,064.80, 180,123.94 and 35,826.42 is: 53,747.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,064.80 : 180,123.94 = 35,826.42 : x
  2. Step 2: Convert to fraction form
    120,064.80/180,123.94 = 35,826.42/x
  3. Step 3: Cross multiply
    120,064.80x = 180,123.94 × 35,826.42
  4. Step 4: Simplify right side
    120,064.80x = 6,453,195,432.02
  5. Step 5: Solve for x
    x = 6,453,195,432.02/120,064.80
  6. Step 6: Final answer
    x = 53,747.61

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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.