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Finding the Fourth Proportional to 266,452.85, 367,694.07 and 145,598.31

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Solution

The fourth proportional to 266,452.85, 367,694.07 and 145,598.31 is: 200,919.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,452.85 : 367,694.07 = 145,598.31 : x
  2. Step 2: Convert to fraction form
    266,452.85/367,694.07 = 145,598.31/x
  3. Step 3: Cross multiply
    266,452.85x = 367,694.07 × 145,598.31
  4. Step 4: Simplify right side
    266,452.85x = 53,535,635,189.02
  5. Step 5: Solve for x
    x = 53,535,635,189.02/266,452.85
  6. Step 6: Final answer
    x = 200,919.74

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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.