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Finding the Fourth Proportional to 192,932.82, 289,576.85 and 98,230.68

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Solution

The fourth proportional to 192,932.82, 289,576.85 and 98,230.68 is: 147,436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,932.82 : 289,576.85 = 98,230.68 : x
  2. Step 2: Convert to fraction form
    192,932.82/289,576.85 = 98,230.68/x
  3. Step 3: Cross multiply
    192,932.82x = 289,576.85 × 98,230.68
  4. Step 4: Simplify right side
    192,932.82x = 28,445,330,396.60
  5. Step 5: Solve for x
    x = 28,445,330,396.60/192,932.82
  6. Step 6: Final answer
    x = 147,436.45

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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.