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Finding the Fourth Proportional to 209,200.20, 313,605.90 and 146,020.20

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Solution

The fourth proportional to 209,200.20, 313,605.90 and 146,020.20 is: 218,894.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,200.20 : 313,605.90 = 146,020.20 : x
  2. Step 2: Convert to fraction form
    209,200.20/313,605.90 = 146,020.20/x
  3. Step 3: Cross multiply
    209,200.20x = 313,605.90 × 146,020.20
  4. Step 4: Simplify right side
    209,200.20x = 45,792,796,239.18
  5. Step 5: Solve for x
    x = 45,792,796,239.18/209,200.20
  6. Step 6: Final answer
    x = 218,894.61

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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.