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Finding the Fourth Proportional to 204,382.50, 306,591.03 and 56,638.50

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Solution

The fourth proportional to 204,382.50, 306,591.03 and 56,638.50 is: 84,962.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,382.50 : 306,591.03 = 56,638.50 : x
  2. Step 2: Convert to fraction form
    204,382.50/306,591.03 = 56,638.50/x
  3. Step 3: Cross multiply
    204,382.50x = 306,591.03 × 56,638.50
  4. Step 4: Simplify right side
    204,382.50x = 17,364,856,052.66
  5. Step 5: Solve for x
    x = 17,364,856,052.66/204,382.50
  6. Step 6: Final answer
    x = 84,962.54

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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.