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Finding the Fourth Proportional to 206,429.40, 309,644.10 and 159,715.80

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Solution

The fourth proportional to 206,429.40, 309,644.10 and 159,715.80 is: 239,573.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,429.40 : 309,644.10 = 159,715.80 : x
  2. Step 2: Convert to fraction form
    206,429.40/309,644.10 = 159,715.80/x
  3. Step 3: Cross multiply
    206,429.40x = 309,644.10 × 159,715.80
  4. Step 4: Simplify right side
    206,429.40x = 49,455,055,146.78
  5. Step 5: Solve for x
    x = 49,455,055,146.78/206,429.40
  6. Step 6: Final answer
    x = 239,573.70

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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.