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Finding the Fourth Proportional to 209,219.80, 313,829.70 and 146,234.20

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Solution

The fourth proportional to 209,219.80, 313,829.70 and 146,234.20 is: 219,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,219.80 : 313,829.70 = 146,234.20 : x
  2. Step 2: Convert to fraction form
    209,219.80/313,829.70 = 146,234.20/x
  3. Step 3: Cross multiply
    209,219.80x = 313,829.70 × 146,234.20
  4. Step 4: Simplify right side
    209,219.80x = 45,892,635,115.74
  5. Step 5: Solve for x
    x = 45,892,635,115.74/209,219.80
  6. Step 6: Final answer
    x = 219,351.30

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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.