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Finding the Fourth Proportional to 205,084.40, 307,799.40 and 99,993.20

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Solution

The fourth proportional to 205,084.40, 307,799.40 and 99,993.20 is: 150,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,084.40 : 307,799.40 = 99,993.20 : x
  2. Step 2: Convert to fraction form
    205,084.40/307,799.40 = 99,993.20/x
  3. Step 3: Cross multiply
    205,084.40x = 307,799.40 × 99,993.20
  4. Step 4: Simplify right side
    205,084.40x = 30,777,846,964.08
  5. Step 5: Solve for x
    x = 30,777,846,964.08/205,084.40
  6. Step 6: Final answer
    x = 150,074.05

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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.