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Finding the Fourth Proportional to 215,297.92, 322,958.22 and 65,526.76

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Solution

The fourth proportional to 215,297.92, 322,958.22 and 65,526.76 is: 98,293.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,297.92 : 322,958.22 = 65,526.76 : x
  2. Step 2: Convert to fraction form
    215,297.92/322,958.22 = 65,526.76/x
  3. Step 3: Cross multiply
    215,297.92x = 322,958.22 × 65,526.76
  4. Step 4: Simplify right side
    215,297.92x = 21,162,405,771.97
  5. Step 5: Solve for x
    x = 21,162,405,771.97/215,297.92
  6. Step 6: Final answer
    x = 98,293.59

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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.