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Finding the Fourth Proportional to 202,219.20, 302,922.78 and 100,711.32

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Solution

The fourth proportional to 202,219.20, 302,922.78 and 100,711.32 is: 150,864.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,219.20 : 302,922.78 = 100,711.32 : x
  2. Step 2: Convert to fraction form
    202,219.20/302,922.78 = 100,711.32/x
  3. Step 3: Cross multiply
    202,219.20x = 302,922.78 × 100,711.32
  4. Step 4: Simplify right side
    202,219.20x = 30,507,753,031.87
  5. Step 5: Solve for x
    x = 30,507,753,031.87/202,219.20
  6. Step 6: Final answer
    x = 150,864.77

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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.