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Finding the Fourth Proportional to 120,584.10, 180,902.06 and 40,630

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Solution

The fourth proportional to 120,584.10, 180,902.06 and 40,630 is: 60,953.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,584.10 : 180,902.06 = 40,630 : x
  2. Step 2: Convert to fraction form
    120,584.10/180,902.06 = 40,630/x
  3. Step 3: Cross multiply
    120,584.10x = 180,902.06 × 40,630
  4. Step 4: Simplify right side
    120,584.10x = 7,350,050,697.80
  5. Step 5: Solve for x
    x = 7,350,050,697.80/120,584.10
  6. Step 6: Final answer
    x = 60,953.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.