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Finding the Fourth Proportional to 120,321.72, 180,660 and 67,117.65

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Solution

The fourth proportional to 120,321.72, 180,660 and 67,117.65 is: 100,775.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,321.72 : 180,660 = 67,117.65 : x
  2. Step 2: Convert to fraction form
    120,321.72/180,660 = 67,117.65/x
  3. Step 3: Cross multiply
    120,321.72x = 180,660 × 67,117.65
  4. Step 4: Simplify right side
    120,321.72x = 12,125,474,649.00
  5. Step 5: Solve for x
    x = 12,125,474,649.00/120,321.72
  6. Step 6: Final answer
    x = 100,775.44

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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.