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Finding the Fourth Proportional to 209,229.12, 313,847.24 and 90,900.50

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Solution

The fourth proportional to 209,229.12, 313,847.24 and 90,900.50 is: 136,352.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,229.12 : 313,847.24 = 90,900.50 : x
  2. Step 2: Convert to fraction form
    209,229.12/313,847.24 = 90,900.50/x
  3. Step 3: Cross multiply
    209,229.12x = 313,847.24 × 90,900.50
  4. Step 4: Simplify right side
    209,229.12x = 28,528,869,015.88
  5. Step 5: Solve for x
    x = 28,528,869,015.88/209,229.12
  6. Step 6: Final answer
    x = 136,352.29

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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.