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Finding the Fourth Proportional to 206,428.80, 309,931.20 and 132,009.60

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Solution

The fourth proportional to 206,428.80, 309,931.20 and 132,009.60 is: 198,198.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,428.80 : 309,931.20 = 132,009.60 : x
  2. Step 2: Convert to fraction form
    206,428.80/309,931.20 = 132,009.60/x
  3. Step 3: Cross multiply
    206,428.80x = 309,931.20 × 132,009.60
  4. Step 4: Simplify right side
    206,428.80x = 40,913,893,739.52
  5. Step 5: Solve for x
    x = 40,913,893,739.52/206,428.80
  6. Step 6: Final answer
    x = 198,198.57

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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.