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Finding the Fourth Proportional to 154,516.71, 231,738.77 and 42,170.22

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Solution

The fourth proportional to 154,516.71, 231,738.77 and 42,170.22 is: 63,245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,516.71 : 231,738.77 = 42,170.22 : x
  2. Step 2: Convert to fraction form
    154,516.71/231,738.77 = 42,170.22/x
  3. Step 3: Cross multiply
    154,516.71x = 231,738.77 × 42,170.22
  4. Step 4: Simplify right side
    154,516.71x = 9,772,475,018.85
  5. Step 5: Solve for x
    x = 9,772,475,018.85/154,516.71
  6. Step 6: Final answer
    x = 63,245.42

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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.