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Finding the Fourth Proportional to 205,314.80, 307,972.20 and 193,650.80

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Solution

The fourth proportional to 205,314.80, 307,972.20 and 193,650.80 is: 290,476.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,314.80 : 307,972.20 = 193,650.80 : x
  2. Step 2: Convert to fraction form
    205,314.80/307,972.20 = 193,650.80/x
  3. Step 3: Cross multiply
    205,314.80x = 307,972.20 × 193,650.80
  4. Step 4: Simplify right side
    205,314.80x = 59,639,062,907.76
  5. Step 5: Solve for x
    x = 59,639,062,907.76/205,314.80
  6. Step 6: Final answer
    x = 290,476.20

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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.