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Finding the Fourth Proportional to 203,808.66, 306,057.24 and 132,851.58

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Solution

The fourth proportional to 203,808.66, 306,057.24 and 132,851.58 is: 199,501.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,808.66 : 306,057.24 = 132,851.58 : x
  2. Step 2: Convert to fraction form
    203,808.66/306,057.24 = 132,851.58/x
  3. Step 3: Cross multiply
    203,808.66x = 306,057.24 × 132,851.58
  4. Step 4: Simplify right side
    203,808.66x = 40,660,187,904.44
  5. Step 5: Solve for x
    x = 40,660,187,904.44/203,808.66
  6. Step 6: Final answer
    x = 199,501.77

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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.