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Finding the Fourth Proportional to 200,526.71, 300,799.30 and 82,115.02

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Solution

The fourth proportional to 200,526.71, 300,799.30 and 82,115.02 is: 123,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,526.71 : 300,799.30 = 82,115.02 : x
  2. Step 2: Convert to fraction form
    200,526.71/300,799.30 = 82,115.02/x
  3. Step 3: Cross multiply
    200,526.71x = 300,799.30 × 82,115.02
  4. Step 4: Simplify right side
    200,526.71x = 24,700,138,937.22
  5. Step 5: Solve for x
    x = 24,700,138,937.22/200,526.71
  6. Step 6: Final answer
    x = 123,176.30

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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.