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Finding the Fourth Proportional to 115,589.89, 159,497.94 and 64,596.16

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Solution

The fourth proportional to 115,589.89, 159,497.94 and 64,596.16 is: 89,133.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,589.89 : 159,497.94 = 64,596.16 : x
  2. Step 2: Convert to fraction form
    115,589.89/159,497.94 = 64,596.16/x
  3. Step 3: Cross multiply
    115,589.89x = 159,497.94 × 64,596.16
  4. Step 4: Simplify right side
    115,589.89x = 10,302,954,451.91
  5. Step 5: Solve for x
    x = 10,302,954,451.91/115,589.89
  6. Step 6: Final answer
    x = 89,133.70

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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.