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Finding the Fourth Proportional to 110,740.64, 166,104.98 and 54,524.70

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Solution

The fourth proportional to 110,740.64, 166,104.98 and 54,524.70 is: 81,784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,740.64 : 166,104.98 = 54,524.70 : x
  2. Step 2: Convert to fraction form
    110,740.64/166,104.98 = 54,524.70/x
  3. Step 3: Cross multiply
    110,740.64x = 166,104.98 × 54,524.70
  4. Step 4: Simplify right side
    110,740.64x = 9,056,824,203.01
  5. Step 5: Solve for x
    x = 9,056,824,203.01/110,740.64
  6. Step 6: Final answer
    x = 81,784.11

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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.