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Finding the Fourth Proportional to 229,722.20, 343,892.10 and 202,074.20

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Solution

The fourth proportional to 229,722.20, 343,892.10 and 202,074.20 is: 302,503.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,722.20 : 343,892.10 = 202,074.20 : x
  2. Step 2: Convert to fraction form
    229,722.20/343,892.10 = 202,074.20/x
  3. Step 3: Cross multiply
    229,722.20x = 343,892.10 × 202,074.20
  4. Step 4: Simplify right side
    229,722.20x = 69,491,720,993.82
  5. Step 5: Solve for x
    x = 69,491,720,993.82/229,722.20
  6. Step 6: Final answer
    x = 302,503.29

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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.