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Finding the Fourth Proportional to 652,093.52, 978,147.16 and 178,778.96

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Solution

The fourth proportional to 652,093.52, 978,147.16 and 178,778.96 is: 268,170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,093.52 : 978,147.16 = 178,778.96 : x
  2. Step 2: Convert to fraction form
    652,093.52/978,147.16 = 178,778.96/x
  3. Step 3: Cross multiply
    652,093.52x = 978,147.16 × 178,778.96
  4. Step 4: Simplify right side
    652,093.52x = 174,872,131,991.75
  5. Step 5: Solve for x
    x = 174,872,131,991.75/652,093.52
  6. Step 6: Final answer
    x = 268,170.33

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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.