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Finding the Fourth Proportional to 203,517.14, 305,290.28 and 53,755.93

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Solution

The fourth proportional to 203,517.14, 305,290.28 and 53,755.93 is: 80,637.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,517.14 : 305,290.28 = 53,755.93 : x
  2. Step 2: Convert to fraction form
    203,517.14/305,290.28 = 53,755.93/x
  3. Step 3: Cross multiply
    203,517.14x = 305,290.28 × 53,755.93
  4. Step 4: Simplify right side
    203,517.14x = 16,411,162,921.36
  5. Step 5: Solve for x
    x = 16,411,162,921.36/203,517.14
  6. Step 6: Final answer
    x = 80,637.74

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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.