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Finding the Fourth Proportional to 192,865.82, 289,094.61 and 87,758.60

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Solution

The fourth proportional to 192,865.82, 289,094.61 and 87,758.60 is: 131,545.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,865.82 : 289,094.61 = 87,758.60 : x
  2. Step 2: Convert to fraction form
    192,865.82/289,094.61 = 87,758.60/x
  3. Step 3: Cross multiply
    192,865.82x = 289,094.61 × 87,758.60
  4. Step 4: Simplify right side
    192,865.82x = 25,370,538,241.15
  5. Step 5: Solve for x
    x = 25,370,538,241.15/192,865.82
  6. Step 6: Final answer
    x = 131,545.02

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Why These Related Problems?

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