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Finding the Fourth Proportional to 266,084.52, 367,189.56 and 145,227.30

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Solution

The fourth proportional to 266,084.52, 367,189.56 and 145,227.30 is: 200,409.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,084.52 : 367,189.56 = 145,227.30 : x
  2. Step 2: Convert to fraction form
    266,084.52/367,189.56 = 145,227.30/x
  3. Step 3: Cross multiply
    266,084.52x = 367,189.56 × 145,227.30
  4. Step 4: Simplify right side
    266,084.52x = 53,325,948,386.99
  5. Step 5: Solve for x
    x = 53,325,948,386.99/266,084.52
  6. Step 6: Final answer
    x = 200,409.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.