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Finding the Fourth Proportional to 106,568.60, 159,642.30 and 54,015.80

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Solution

The fourth proportional to 106,568.60, 159,642.30 and 54,015.80 is: 80,916.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,568.60 : 159,642.30 = 54,015.80 : x
  2. Step 2: Convert to fraction form
    106,568.60/159,642.30 = 54,015.80/x
  3. Step 3: Cross multiply
    106,568.60x = 159,642.30 × 54,015.80
  4. Step 4: Simplify right side
    106,568.60x = 8,623,206,548.34
  5. Step 5: Solve for x
    x = 8,623,206,548.34/106,568.60
  6. Step 6: Final answer
    x = 80,916.95

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Why These Related Problems?

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