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Finding the Fourth Proportional to 200,164.37, 300,365.13 and 73,892.66

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Solution

The fourth proportional to 200,164.37, 300,365.13 and 73,892.66 is: 110,882.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,164.37 : 300,365.13 = 73,892.66 : x
  2. Step 2: Convert to fraction form
    200,164.37/300,365.13 = 73,892.66/x
  3. Step 3: Cross multiply
    200,164.37x = 300,365.13 × 73,892.66
  4. Step 4: Simplify right side
    200,164.37x = 22,194,778,426.95
  5. Step 5: Solve for x
    x = 22,194,778,426.95/200,164.37
  6. Step 6: Final answer
    x = 110,882.76

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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.