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Finding the Fourth Proportional to 203,428.35, 280,733.68 and 117,405.20

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Solution

The fourth proportional to 203,428.35, 280,733.68 and 117,405.20 is: 162,020.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,428.35 : 280,733.68 = 117,405.20 : x
  2. Step 2: Convert to fraction form
    203,428.35/280,733.68 = 117,405.20/x
  3. Step 3: Cross multiply
    203,428.35x = 280,733.68 × 117,405.20
  4. Step 4: Simplify right side
    203,428.35x = 32,959,593,847.14
  5. Step 5: Solve for x
    x = 32,959,593,847.14/203,428.35
  6. Step 6: Final answer
    x = 162,020.65

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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.