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Finding the Fourth Proportional to 205,896.20, 308,844.30 and 72,775.40

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Solution

The fourth proportional to 205,896.20, 308,844.30 and 72,775.40 is: 109,163.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,896.20 : 308,844.30 = 72,775.40 : x
  2. Step 2: Convert to fraction form
    205,896.20/308,844.30 = 72,775.40/x
  3. Step 3: Cross multiply
    205,896.20x = 308,844.30 × 72,775.40
  4. Step 4: Simplify right side
    205,896.20x = 22,476,267,470.22
  5. Step 5: Solve for x
    x = 22,476,267,470.22/205,896.20
  6. Step 6: Final answer
    x = 109,163.10

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1.5x scale

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.