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Finding the Fourth Proportional to 154,378.86, 231,194.54 and 106,860.80

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Solution

The fourth proportional to 154,378.86, 231,194.54 and 106,860.80 is: 160,032.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,378.86 : 231,194.54 = 106,860.80 : x
  2. Step 2: Convert to fraction form
    154,378.86/231,194.54 = 106,860.80/x
  3. Step 3: Cross multiply
    154,378.86x = 231,194.54 × 106,860.80
  4. Step 4: Simplify right side
    154,378.86x = 24,705,633,500.03
  5. Step 5: Solve for x
    x = 24,705,633,500.03/154,378.86
  6. Step 6: Final answer
    x = 160,032.49

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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.