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Finding the Fourth Proportional to 200,592.86, 300,840.08 and 82,298.03

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Solution

The fourth proportional to 200,592.86, 300,840.08 and 82,298.03 is: 123,426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,592.86 : 300,840.08 = 82,298.03 : x
  2. Step 2: Convert to fraction form
    200,592.86/300,840.08 = 82,298.03/x
  3. Step 3: Cross multiply
    200,592.86x = 300,840.08 × 82,298.03
  4. Step 4: Simplify right side
    200,592.86x = 24,758,544,013.35
  5. Step 5: Solve for x
    x = 24,758,544,013.35/200,592.86
  6. Step 6: Final answer
    x = 123,426.85

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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.