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Finding the Fourth Proportional to 205,240.20, 307,204.20 and 146,191.20

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Solution

The fourth proportional to 205,240.20, 307,204.20 and 146,191.20 is: 218,819.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,240.20 : 307,204.20 = 146,191.20 : x
  2. Step 2: Convert to fraction form
    205,240.20/307,204.20 = 146,191.20/x
  3. Step 3: Cross multiply
    205,240.20x = 307,204.20 × 146,191.20
  4. Step 4: Simplify right side
    205,240.20x = 44,910,550,643.04
  5. Step 5: Solve for x
    x = 44,910,550,643.04/205,240.20
  6. Step 6: Final answer
    x = 218,819.46

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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.