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Finding the Fourth Proportional to 200,534.40, 300,801.96 and 82,184.56

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Solution

The fourth proportional to 200,534.40, 300,801.96 and 82,184.56 is: 123,276.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,534.40 : 300,801.96 = 82,184.56 : x
  2. Step 2: Convert to fraction form
    200,534.40/300,801.96 = 82,184.56/x
  3. Step 3: Cross multiply
    200,534.40x = 300,801.96 × 82,184.56
  4. Step 4: Simplify right side
    200,534.40x = 24,721,276,729.74
  5. Step 5: Solve for x
    x = 24,721,276,729.74/200,534.40
  6. Step 6: Final answer
    x = 123,276.99

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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.