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Finding the Fourth Proportional to 97,611.92, 146,264.68 and 58,147.44

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Solution

The fourth proportional to 97,611.92, 146,264.68 and 58,147.44 is: 87,129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,611.92 : 146,264.68 = 58,147.44 : x
  2. Step 2: Convert to fraction form
    97,611.92/146,264.68 = 58,147.44/x
  3. Step 3: Cross multiply
    97,611.92x = 146,264.68 × 58,147.44
  4. Step 4: Simplify right side
    97,611.92x = 8,504,916,704.42
  5. Step 5: Solve for x
    x = 8,504,916,704.42/97,611.92
  6. Step 6: Final answer
    x = 87,129.90

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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.