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Finding the Fourth Proportional to 97,761.80, 146,496.90 and 82,890.20

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Solution

The fourth proportional to 97,761.80, 146,496.90 and 82,890.20 is: 124,211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,761.80 : 146,496.90 = 82,890.20 : x
  2. Step 2: Convert to fraction form
    97,761.80/146,496.90 = 82,890.20/x
  3. Step 3: Cross multiply
    97,761.80x = 146,496.90 × 82,890.20
  4. Step 4: Simplify right side
    97,761.80x = 12,143,157,340.38
  5. Step 5: Solve for x
    x = 12,143,157,340.38/97,761.80
  6. Step 6: Final answer
    x = 124,211.68

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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.