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Finding the Fourth Proportional to 203,488.10, 305,232.15 and 92,896.10

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Solution

The fourth proportional to 203,488.10, 305,232.15 and 92,896.10 is: 139,344.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,488.10 : 305,232.15 = 92,896.10 : x
  2. Step 2: Convert to fraction form
    203,488.10/305,232.15 = 92,896.10/x
  3. Step 3: Cross multiply
    203,488.10x = 305,232.15 × 92,896.10
  4. Step 4: Simplify right side
    203,488.10x = 28,354,876,329.62
  5. Step 5: Solve for x
    x = 28,354,876,329.62/203,488.10
  6. Step 6: Final answer
    x = 139,344.15

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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.