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Finding the Fourth Proportional to 110,783.92, 166,170.36 and 40,657.72

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Solution

The fourth proportional to 110,783.92, 166,170.36 and 40,657.72 is: 60,984.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,783.92 : 166,170.36 = 40,657.72 : x
  2. Step 2: Convert to fraction form
    110,783.92/166,170.36 = 40,657.72/x
  3. Step 3: Cross multiply
    110,783.92x = 166,170.36 × 40,657.72
  4. Step 4: Simplify right side
    110,783.92x = 6,756,107,969.18
  5. Step 5: Solve for x
    x = 6,756,107,969.18/110,783.92
  6. Step 6: Final answer
    x = 60,984.55

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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.