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Finding the Fourth Proportional to 204,406.64, 306,586.55 and 54,658.59

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Solution

The fourth proportional to 204,406.64, 306,586.55 and 54,658.59 is: 81,981.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,406.64 : 306,586.55 = 54,658.59 : x
  2. Step 2: Convert to fraction form
    204,406.64/306,586.55 = 54,658.59/x
  3. Step 3: Cross multiply
    204,406.64x = 306,586.55 × 54,658.59
  4. Step 4: Simplify right side
    204,406.64x = 16,757,588,262.67
  5. Step 5: Solve for x
    x = 16,757,588,262.67/204,406.64
  6. Step 6: Final answer
    x = 81,981.63

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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.