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Finding the Fourth Proportional to 203,691.60, 305,537.13 and 114,904.80

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Solution

The fourth proportional to 203,691.60, 305,537.13 and 114,904.80 is: 172,357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,691.60 : 305,537.13 = 114,904.80 : x
  2. Step 2: Convert to fraction form
    203,691.60/305,537.13 = 114,904.80/x
  3. Step 3: Cross multiply
    203,691.60x = 305,537.13 × 114,904.80
  4. Step 4: Simplify right side
    203,691.60x = 35,107,682,815.22
  5. Step 5: Solve for x
    x = 35,107,682,815.22/203,691.60
  6. Step 6: Final answer
    x = 172,357.05

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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.