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Finding the Fourth Proportional to 106,584.81, 159,811.61 and 96,480.87

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Solution

The fourth proportional to 106,584.81, 159,811.61 and 96,480.87 is: 144,661.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,584.81 : 159,811.61 = 96,480.87 : x
  2. Step 2: Convert to fraction form
    106,584.81/159,811.61 = 96,480.87/x
  3. Step 3: Cross multiply
    106,584.81x = 159,811.61 × 96,480.87
  4. Step 4: Simplify right side
    106,584.81x = 15,418,763,257.50
  5. Step 5: Solve for x
    x = 15,418,763,257.50/106,584.81
  6. Step 6: Final answer
    x = 144,661.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.