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Finding the Fourth Proportional to 204,391.50, 306,604.53 and 56,647.50

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Solution

The fourth proportional to 204,391.50, 306,604.53 and 56,647.50 is: 84,976.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,391.50 : 306,604.53 = 56,647.50 : x
  2. Step 2: Convert to fraction form
    204,391.50/306,604.53 = 56,647.50/x
  3. Step 3: Cross multiply
    204,391.50x = 306,604.53 × 56,647.50
  4. Step 4: Simplify right side
    204,391.50x = 17,368,380,113.18
  5. Step 5: Solve for x
    x = 17,368,380,113.18/204,391.50
  6. Step 6: Final answer
    x = 84,976.04

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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.