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Finding the Fourth Proportional to 202,220.20, 302,924.28 and 100,712.32

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Solution

The fourth proportional to 202,220.20, 302,924.28 and 100,712.32 is: 150,866.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,220.20 : 302,924.28 = 100,712.32 : x
  2. Step 2: Convert to fraction form
    202,220.20/302,924.28 = 100,712.32/x
  3. Step 3: Cross multiply
    202,220.20x = 302,924.28 × 100,712.32
  4. Step 4: Simplify right side
    202,220.20x = 30,508,207,023.13
  5. Step 5: Solve for x
    x = 30,508,207,023.13/202,220.20
  6. Step 6: Final answer
    x = 150,866.27

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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.