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Finding the Fourth Proportional to 207,958.20, 311,937.30 and 199,210.20

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Solution

The fourth proportional to 207,958.20, 311,937.30 and 199,210.20 is: 298,815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,958.20 : 311,937.30 = 199,210.20 : x
  2. Step 2: Convert to fraction form
    207,958.20/311,937.30 = 199,210.20/x
  3. Step 3: Cross multiply
    207,958.20x = 311,937.30 × 199,210.20
  4. Step 4: Simplify right side
    207,958.20x = 62,141,091,920.46
  5. Step 5: Solve for x
    x = 62,141,091,920.46/207,958.20
  6. Step 6: Final answer
    x = 298,815.30

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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.