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Finding the Fourth Proportional to 206,891.10, 310,409.55 and 199,601.10

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Solution

The fourth proportional to 206,891.10, 310,409.55 and 199,601.10 is: 299,471.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,891.10 : 310,409.55 = 199,601.10 : x
  2. Step 2: Convert to fraction form
    206,891.10/310,409.55 = 199,601.10/x
  3. Step 3: Cross multiply
    206,891.10x = 310,409.55 × 199,601.10
  4. Step 4: Simplify right side
    206,891.10x = 61,958,087,630.51
  5. Step 5: Solve for x
    x = 61,958,087,630.51/206,891.10
  6. Step 6: Final answer
    x = 299,471.98

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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.