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Finding the Fourth Proportional to 215,468.58, 323,201.98 and 65,708.43

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Solution

The fourth proportional to 215,468.58, 323,201.98 and 65,708.43 is: 98,562.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,468.58 : 323,201.98 = 65,708.43 : x
  2. Step 2: Convert to fraction form
    215,468.58/323,201.98 = 65,708.43/x
  3. Step 3: Cross multiply
    215,468.58x = 323,201.98 × 65,708.43
  4. Step 4: Simplify right side
    215,468.58x = 21,237,093,062.68
  5. Step 5: Solve for x
    x = 21,237,093,062.68/215,468.58
  6. Step 6: Final answer
    x = 98,562.37

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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.