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Finding the Fourth Proportional to 202,821.10, 304,231.65 and 132,318.70

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Solution

The fourth proportional to 202,821.10, 304,231.65 and 132,318.70 is: 198,478.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,821.10 : 304,231.65 = 132,318.70 : x
  2. Step 2: Convert to fraction form
    202,821.10/304,231.65 = 132,318.70/x
  3. Step 3: Cross multiply
    202,821.10x = 304,231.65 × 132,318.70
  4. Step 4: Simplify right side
    202,821.10x = 40,255,536,426.86
  5. Step 5: Solve for x
    x = 40,255,536,426.86/202,821.10
  6. Step 6: Final answer
    x = 198,478.05

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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.