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Finding the Fourth Proportional to 206,551.80, 309,827.70 and 165,079.80

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Solution

The fourth proportional to 206,551.80, 309,827.70 and 165,079.80 is: 247,619.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,551.80 : 309,827.70 = 165,079.80 : x
  2. Step 2: Convert to fraction form
    206,551.80/309,827.70 = 165,079.80/x
  3. Step 3: Cross multiply
    206,551.80x = 309,827.70 × 165,079.80
  4. Step 4: Simplify right side
    206,551.80x = 51,146,294,750.46
  5. Step 5: Solve for x
    x = 51,146,294,750.46/206,551.80
  6. Step 6: Final answer
    x = 247,619.70

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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.