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Finding the Fourth Proportional to 115,768.56, 159,713.24 and 75,467.54

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Solution

The fourth proportional to 115,768.56, 159,713.24 and 75,467.54 is: 104,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,768.56 : 159,713.24 = 75,467.54 : x
  2. Step 2: Convert to fraction form
    115,768.56/159,713.24 = 75,467.54/x
  3. Step 3: Cross multiply
    115,768.56x = 159,713.24 × 75,467.54
  4. Step 4: Simplify right side
    115,768.56x = 12,053,165,328.23
  5. Step 5: Solve for x
    x = 12,053,165,328.23/115,768.56
  6. Step 6: Final answer
    x = 104,114.32

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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.