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Finding the Fourth Proportional to 116,093.93, 160,198.43 and 65,108.75

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Solution

The fourth proportional to 116,093.93, 160,198.43 and 65,108.75 is: 89,843.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,093.93 : 160,198.43 = 65,108.75 : x
  2. Step 2: Convert to fraction form
    116,093.93/160,198.43 = 65,108.75/x
  3. Step 3: Cross multiply
    116,093.93x = 160,198.43 × 65,108.75
  4. Step 4: Simplify right side
    116,093.93x = 10,430,318,402.73
  5. Step 5: Solve for x
    x = 10,430,318,402.73/116,093.93
  6. Step 6: Final answer
    x = 89,843.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.