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Finding the Fourth Proportional to 115,854.33, 159,871.19 and 64,858.44

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Solution

The fourth proportional to 115,854.33, 159,871.19 and 64,858.44 is: 89,500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,854.33 : 159,871.19 = 64,858.44 : x
  2. Step 2: Convert to fraction form
    115,854.33/159,871.19 = 64,858.44/x
  3. Step 3: Cross multiply
    115,854.33x = 159,871.19 × 64,858.44
  4. Step 4: Simplify right side
    115,854.33x = 10,368,995,660.05
  5. Step 5: Solve for x
    x = 10,368,995,660.05/115,854.33
  6. Step 6: Final answer
    x = 89,500.29

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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.