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Finding the Fourth Proportional to 204,003.30, 305,794.35 and 91,737.30

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Solution

The fourth proportional to 204,003.30, 305,794.35 and 91,737.30 is: 137,511.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,003.30 : 305,794.35 = 91,737.30 : x
  2. Step 2: Convert to fraction form
    204,003.30/305,794.35 = 91,737.30/x
  3. Step 3: Cross multiply
    204,003.30x = 305,794.35 × 91,737.30
  4. Step 4: Simplify right side
    204,003.30x = 28,052,748,024.26
  5. Step 5: Solve for x
    x = 28,052,748,024.26/204,003.30
  6. Step 6: Final answer
    x = 137,511.25

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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.