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Finding the Fourth Proportional to 204,061.72, 306,092.16 and 54,302

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Solution

The fourth proportional to 204,061.72, 306,092.16 and 54,302 is: 81,452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,061.72 : 306,092.16 = 54,302 : x
  2. Step 2: Convert to fraction form
    204,061.72/306,092.16 = 54,302/x
  3. Step 3: Cross multiply
    204,061.72x = 306,092.16 × 54,302
  4. Step 4: Simplify right side
    204,061.72x = 16,621,416,472.32
  5. Step 5: Solve for x
    x = 16,621,416,472.32/204,061.72
  6. Step 6: Final answer
    x = 81,452.89

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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.