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Finding the Fourth Proportional to 229,246.20, 343,869.30 and 204,751.80

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Solution

The fourth proportional to 229,246.20, 343,869.30 and 204,751.80 is: 307,127.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,246.20 : 343,869.30 = 204,751.80 : x
  2. Step 2: Convert to fraction form
    229,246.20/343,869.30 = 204,751.80/x
  3. Step 3: Cross multiply
    229,246.20x = 343,869.30 × 204,751.80
  4. Step 4: Simplify right side
    229,246.20x = 70,407,858,139.74
  5. Step 5: Solve for x
    x = 70,407,858,139.74/229,246.20
  6. Step 6: Final answer
    x = 307,127.70

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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.