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Finding the Fourth Proportional to 110,957.75, 166,435.26 and 105,578.64

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Solution

The fourth proportional to 110,957.75, 166,435.26 and 105,578.64 is: 158,366.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,957.75 : 166,435.26 = 105,578.64 : x
  2. Step 2: Convert to fraction form
    110,957.75/166,435.26 = 105,578.64/x
  3. Step 3: Cross multiply
    110,957.75x = 166,435.26 × 105,578.64
  4. Step 4: Simplify right side
    110,957.75x = 17,572,008,002.93
  5. Step 5: Solve for x
    x = 17,572,008,002.93/110,957.75
  6. Step 6: Final answer
    x = 158,366.66

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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.