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Finding the Fourth Proportional to 206,532.60, 310,029.30 and 192,996.60

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Solution

The fourth proportional to 206,532.60, 310,029.30 and 192,996.60 is: 289,710.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,532.60 : 310,029.30 = 192,996.60 : x
  2. Step 2: Convert to fraction form
    206,532.60/310,029.30 = 192,996.60/x
  3. Step 3: Cross multiply
    206,532.60x = 310,029.30 × 192,996.60
  4. Step 4: Simplify right side
    206,532.60x = 59,834,600,800.38
  5. Step 5: Solve for x
    x = 59,834,600,800.38/206,532.60
  6. Step 6: Final answer
    x = 289,710.20

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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.