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Finding the Fourth Proportional to 236,015.92, 353,947.32 and 78,202

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Solution

The fourth proportional to 236,015.92, 353,947.32 and 78,202 is: 117,277.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,015.92 : 353,947.32 = 78,202 : x
  2. Step 2: Convert to fraction form
    236,015.92/353,947.32 = 78,202/x
  3. Step 3: Cross multiply
    236,015.92x = 353,947.32 × 78,202
  4. Step 4: Simplify right side
    236,015.92x = 27,679,388,318.64
  5. Step 5: Solve for x
    x = 27,679,388,318.64/236,015.92
  6. Step 6: Final answer
    x = 117,277.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.