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Finding the Fourth Proportional to 97,768.80, 146,215.80 and 82,022.40

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Solution

The fourth proportional to 97,768.80, 146,215.80 and 82,022.40 is: 122,666.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,768.80 : 146,215.80 = 82,022.40 : x
  2. Step 2: Convert to fraction form
    97,768.80/146,215.80 = 82,022.40/x
  3. Step 3: Cross multiply
    97,768.80x = 146,215.80 × 82,022.40
  4. Step 4: Simplify right side
    97,768.80x = 11,992,970,833.92
  5. Step 5: Solve for x
    x = 11,992,970,833.92/97,768.80
  6. Step 6: Final answer
    x = 122,666.65

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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.