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Finding the Fourth Proportional to 110,783.70, 166,175.55 and 66,546.90

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Solution

The fourth proportional to 110,783.70, 166,175.55 and 66,546.90 is: 99,820.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,783.70 : 166,175.55 = 66,546.90 : x
  2. Step 2: Convert to fraction form
    110,783.70/166,175.55 = 66,546.90/x
  3. Step 3: Cross multiply
    110,783.70x = 166,175.55 × 66,546.90
  4. Step 4: Simplify right side
    110,783.70x = 11,058,467,708.30
  5. Step 5: Solve for x
    x = 11,058,467,708.30/110,783.70
  6. Step 6: Final answer
    x = 99,820.35

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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.