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Finding the Fourth Proportional to 115,776.82, 159,778.74 and 64,789.11

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Solution

The fourth proportional to 115,776.82, 159,778.74 and 64,789.11 is: 89,412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,776.82 : 159,778.74 = 64,789.11 : x
  2. Step 2: Convert to fraction form
    115,776.82/159,778.74 = 64,789.11/x
  3. Step 3: Cross multiply
    115,776.82x = 159,778.74 × 64,789.11
  4. Step 4: Simplify right side
    115,776.82x = 10,351,922,361.52
  5. Step 5: Solve for x
    x = 10,351,922,361.52/115,776.82
  6. Step 6: Final answer
    x = 89,412.74

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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.