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Finding the Fourth Proportional to 203,084.36, 280,285.92 and 117,026.58

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Solution

The fourth proportional to 203,084.36, 280,285.92 and 117,026.58 is: 161,513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,084.36 : 280,285.92 = 117,026.58 : x
  2. Step 2: Convert to fraction form
    203,084.36/280,285.92 = 117,026.58/x
  3. Step 3: Cross multiply
    203,084.36x = 280,285.92 × 117,026.58
  4. Step 4: Simplify right side
    203,084.36x = 32,800,902,639.75
  5. Step 5: Solve for x
    x = 32,800,902,639.75/203,084.36
  6. Step 6: Final answer
    x = 161,513.68

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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.