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Finding the Fourth Proportional to 209,204.20, 313,611.90 and 146,024.20

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Solution

The fourth proportional to 209,204.20, 313,611.90 and 146,024.20 is: 218,900.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,204.20 : 313,611.90 = 146,024.20 : x
  2. Step 2: Convert to fraction form
    209,204.20/313,611.90 = 146,024.20/x
  3. Step 3: Cross multiply
    209,204.20x = 313,611.90 × 146,024.20
  4. Step 4: Simplify right side
    209,204.20x = 45,794,926,807.98
  5. Step 5: Solve for x
    x = 45,794,926,807.98/209,204.20
  6. Step 6: Final answer
    x = 218,900.61

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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.