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Finding the Fourth Proportional to 200,597.40, 300,701.70 and 82,110.60

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Solution

The fourth proportional to 200,597.40, 300,701.70 and 82,110.60 is: 123,086.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,597.40 : 300,701.70 = 82,110.60 : x
  2. Step 2: Convert to fraction form
    200,597.40/300,701.70 = 82,110.60/x
  3. Step 3: Cross multiply
    200,597.40x = 300,701.70 × 82,110.60
  4. Step 4: Simplify right side
    200,597.40x = 24,690,797,008.02
  5. Step 5: Solve for x
    x = 24,690,797,008.02/200,597.40
  6. Step 6: Final answer
    x = 123,086.33

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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.