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Finding the Fourth Proportional to 78,228.54, 117,342.57 and 67,667.16

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Solution

The fourth proportional to 78,228.54, 117,342.57 and 67,667.16 is: 101,500.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,228.54 : 117,342.57 = 67,667.16 : x
  2. Step 2: Convert to fraction form
    78,228.54/117,342.57 = 67,667.16/x
  3. Step 3: Cross multiply
    78,228.54x = 117,342.57 × 67,667.16
  4. Step 4: Simplify right side
    78,228.54x = 7,940,238,459.00
  5. Step 5: Solve for x
    x = 7,940,238,459.00/78,228.54
  6. Step 6: Final answer
    x = 101,500.53

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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.