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Finding the Fourth Proportional to 200,582.20, 301,019.10 and 82,338.40

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Solution

The fourth proportional to 200,582.20, 301,019.10 and 82,338.40 is: 123,567.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,582.20 : 301,019.10 = 82,338.40 : x
  2. Step 2: Convert to fraction form
    200,582.20/301,019.10 = 82,338.40/x
  3. Step 3: Cross multiply
    200,582.20x = 301,019.10 × 82,338.40
  4. Step 4: Simplify right side
    200,582.20x = 24,785,431,063.44
  5. Step 5: Solve for x
    x = 24,785,431,063.44/200,582.20
  6. Step 6: Final answer
    x = 123,567.45

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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.