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Finding the Fourth Proportional to 209,898.60, 314,847.90 and 192,183.90

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Solution

The fourth proportional to 209,898.60, 314,847.90 and 192,183.90 is: 288,275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,898.60 : 314,847.90 = 192,183.90 : x
  2. Step 2: Convert to fraction form
    209,898.60/314,847.90 = 192,183.90/x
  3. Step 3: Cross multiply
    209,898.60x = 314,847.90 × 192,183.90
  4. Step 4: Simplify right side
    209,898.60x = 60,508,697,328.81
  5. Step 5: Solve for x
    x = 60,508,697,328.81/209,898.60
  6. Step 6: Final answer
    x = 288,275.85

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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.