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Finding the Fourth Proportional to 209,222.80, 313,834.20 and 146,237.20

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Solution

The fourth proportional to 209,222.80, 313,834.20 and 146,237.20 is: 219,355.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,222.80 : 313,834.20 = 146,237.20 : x
  2. Step 2: Convert to fraction form
    209,222.80/313,834.20 = 146,237.20/x
  3. Step 3: Cross multiply
    209,222.80x = 313,834.20 × 146,237.20
  4. Step 4: Simplify right side
    209,222.80x = 45,894,234,672.24
  5. Step 5: Solve for x
    x = 45,894,234,672.24/209,222.80
  6. Step 6: Final answer
    x = 219,355.80

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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.