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Finding the Fourth Proportional to 204,690.96, 306,662.36 and 148,391.42

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Solution

The fourth proportional to 204,690.96, 306,662.36 and 148,391.42 is: 222,315.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,690.96 : 306,662.36 = 148,391.42 : x
  2. Step 2: Convert to fraction form
    204,690.96/306,662.36 = 148,391.42/x
  3. Step 3: Cross multiply
    204,690.96x = 306,662.36 × 148,391.42
  4. Step 4: Simplify right side
    204,690.96x = 45,506,060,785.68
  5. Step 5: Solve for x
    x = 45,506,060,785.68/204,690.96
  6. Step 6: Final answer
    x = 222,315.93

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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.