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Finding the Fourth Proportional to 116,163.94, 160,324.31 and 65,197.27

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Solution

The fourth proportional to 116,163.94, 160,324.31 and 65,197.27 is: 89,982.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,163.94 : 160,324.31 = 65,197.27 : x
  2. Step 2: Convert to fraction form
    116,163.94/160,324.31 = 65,197.27/x
  3. Step 3: Cross multiply
    116,163.94x = 160,324.31 × 65,197.27
  4. Step 4: Simplify right side
    116,163.94x = 10,452,707,088.82
  5. Step 5: Solve for x
    x = 10,452,707,088.82/116,163.94
  6. Step 6: Final answer
    x = 89,982.38

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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.