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Finding the Fourth Proportional to 203,467.13, 305,200.69 and 78,808.13

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Solution

The fourth proportional to 203,467.13, 305,200.69 and 78,808.13 is: 118,212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,467.13 : 305,200.69 = 78,808.13 : x
  2. Step 2: Convert to fraction form
    203,467.13/305,200.69 = 78,808.13/x
  3. Step 3: Cross multiply
    203,467.13x = 305,200.69 × 78,808.13
  4. Step 4: Simplify right side
    203,467.13x = 24,052,295,653.61
  5. Step 5: Solve for x
    x = 24,052,295,653.61/203,467.13
  6. Step 6: Final answer
    x = 118,212.19

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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.