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Finding the Fourth Proportional to 209,214.80, 313,822.20 and 146,229.20

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Solution

The fourth proportional to 209,214.80, 313,822.20 and 146,229.20 is: 219,343.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,214.80 : 313,822.20 = 146,229.20 : x
  2. Step 2: Convert to fraction form
    209,214.80/313,822.20 = 146,229.20/x
  3. Step 3: Cross multiply
    209,214.80x = 313,822.20 × 146,229.20
  4. Step 4: Simplify right side
    209,214.80x = 45,889,969,248.24
  5. Step 5: Solve for x
    x = 45,889,969,248.24/209,214.80
  6. Step 6: Final answer
    x = 219,343.80

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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.