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Finding the Fourth Proportional to 203,088.42, 280,139.88 and 149,511.78

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Solution

The fourth proportional to 203,088.42, 280,139.88 and 149,511.78 is: 206,236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,088.42 : 280,139.88 = 149,511.78 : x
  2. Step 2: Convert to fraction form
    203,088.42/280,139.88 = 149,511.78/x
  3. Step 3: Cross multiply
    203,088.42x = 280,139.88 × 149,511.78
  4. Step 4: Simplify right side
    203,088.42x = 41,884,212,107.79
  5. Step 5: Solve for x
    x = 41,884,212,107.79/203,088.42
  6. Step 6: Final answer
    x = 206,236.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.