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Finding the Fourth Proportional to 207,871.40, 311,734.20 and 107,998.40

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Solution

The fourth proportional to 207,871.40, 311,734.20 and 107,998.40 is: 161,959.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,871.40 : 311,734.20 = 107,998.40 : x
  2. Step 2: Convert to fraction form
    207,871.40/311,734.20 = 107,998.40/x
  3. Step 3: Cross multiply
    207,871.40x = 311,734.20 × 107,998.40
  4. Step 4: Simplify right side
    207,871.40x = 33,666,794,825.28
  5. Step 5: Solve for x
    x = 33,666,794,825.28/207,871.40
  6. Step 6: Final answer
    x = 161,959.73

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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.