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Finding the Fourth Proportional to 110,940.10, 166,300.80 and 54,734.20

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Solution

The fourth proportional to 110,940.10, 166,300.80 and 54,734.20 is: 82,047.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,940.10 : 166,300.80 = 54,734.20 : x
  2. Step 2: Convert to fraction form
    110,940.10/166,300.80 = 54,734.20/x
  3. Step 3: Cross multiply
    110,940.10x = 166,300.80 × 54,734.20
  4. Step 4: Simplify right side
    110,940.10x = 9,102,341,247.36
  5. Step 5: Solve for x
    x = 9,102,341,247.36/110,940.10
  6. Step 6: Final answer
    x = 82,047.35

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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.