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Finding the Fourth Proportional to 205,972.20, 288,775.80 and 205,972.20

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Solution

The fourth proportional to 205,972.20, 288,775.80 and 205,972.20 is: 288,775.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,972.20 : 288,775.80 = 205,972.20 : x
  2. Step 2: Convert to fraction form
    205,972.20/288,775.80 = 205,972.20/x
  3. Step 3: Cross multiply
    205,972.20x = 288,775.80 × 205,972.20
  4. Step 4: Simplify right side
    205,972.20x = 59,479,786,832.76
  5. Step 5: Solve for x
    x = 59,479,786,832.76/205,972.20
  6. Step 6: Final answer
    x = 288,775.80

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1.5x scale

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.