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Finding the Fourth Proportional to 115,464.36, 159,345.30 and 65,163.24

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Solution

The fourth proportional to 115,464.36, 159,345.30 and 65,163.24 is: 89,927.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,464.36 : 159,345.30 = 65,163.24 : x
  2. Step 2: Convert to fraction form
    115,464.36/159,345.30 = 65,163.24/x
  3. Step 3: Cross multiply
    115,464.36x = 159,345.30 × 65,163.24
  4. Step 4: Simplify right side
    115,464.36x = 10,383,456,026.77
  5. Step 5: Solve for x
    x = 10,383,456,026.77/115,464.36
  6. Step 6: Final answer
    x = 89,927.80

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