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Finding the Fourth Proportional to 200,101.83, 300,041.97 and 81,856.23

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Solution

The fourth proportional to 200,101.83, 300,041.97 and 81,856.23 is: 122,739.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,101.83 : 300,041.97 = 81,856.23 : x
  2. Step 2: Convert to fraction form
    200,101.83/300,041.97 = 81,856.23/x
  3. Step 3: Cross multiply
    200,101.83x = 300,041.97 × 81,856.23
  4. Step 4: Simplify right side
    200,101.83x = 24,560,304,505.97
  5. Step 5: Solve for x
    x = 24,560,304,505.97/200,101.83
  6. Step 6: Final answer
    x = 122,739.03

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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.