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Finding the Fourth Proportional to 203,469.13, 305,203.69 and 78,810.13

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Solution

The fourth proportional to 203,469.13, 305,203.69 and 78,810.13 is: 118,215.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,469.13 : 305,203.69 = 78,810.13 : x
  2. Step 2: Convert to fraction form
    203,469.13/305,203.69 = 78,810.13/x
  3. Step 3: Cross multiply
    203,469.13x = 305,203.69 × 78,810.13
  4. Step 4: Simplify right side
    203,469.13x = 24,053,142,485.38
  5. Step 5: Solve for x
    x = 24,053,142,485.38/203,469.13
  6. Step 6: Final answer
    x = 118,215.19

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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.