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Finding the Fourth Proportional to 205,974.80, 288,986.80 and 205,974.80

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Solution

The fourth proportional to 205,974.80, 288,986.80 and 205,974.80 is: 288,986.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,974.80 : 288,986.80 = 205,974.80 : x
  2. Step 2: Convert to fraction form
    205,974.80/288,986.80 = 205,974.80/x
  3. Step 3: Cross multiply
    205,974.80x = 288,986.80 × 205,974.80
  4. Step 4: Simplify right side
    205,974.80x = 59,523,998,332.64
  5. Step 5: Solve for x
    x = 59,523,998,332.64/205,974.80
  6. Step 6: Final answer
    x = 288,986.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.