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Finding the Fourth Proportional to 204,692.96, 306,665.36 and 148,393.42

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Solution

The fourth proportional to 204,692.96, 306,665.36 and 148,393.42 is: 222,318.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,692.96 : 306,665.36 = 148,393.42 : x
  2. Step 2: Convert to fraction form
    204,692.96/306,665.36 = 148,393.42/x
  3. Step 3: Cross multiply
    204,692.96x = 306,665.36 × 148,393.42
  4. Step 4: Simplify right side
    204,692.96x = 45,507,121,565.93
  5. Step 5: Solve for x
    x = 45,507,121,565.93/204,692.96
  6. Step 6: Final answer
    x = 222,318.94

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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.