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Finding the Fourth Proportional to 200,576.40, 300,718.80 and 82,186.80

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Solution

The fourth proportional to 200,576.40, 300,718.80 and 82,186.80 is: 123,220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,576.40 : 300,718.80 = 82,186.80 : x
  2. Step 2: Convert to fraction form
    200,576.40/300,718.80 = 82,186.80/x
  3. Step 3: Cross multiply
    200,576.40x = 300,718.80 × 82,186.80
  4. Step 4: Simplify right side
    200,576.40x = 24,715,115,871.84
  5. Step 5: Solve for x
    x = 24,715,115,871.84/200,576.40
  6. Step 6: Final answer
    x = 123,220.46

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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.