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Finding the Fourth Proportional to 110,809.20, 166,267.80 and 51,614.40

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Solution

The fourth proportional to 110,809.20, 166,267.80 and 51,614.40 is: 77,446.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,809.20 : 166,267.80 = 51,614.40 : x
  2. Step 2: Convert to fraction form
    110,809.20/166,267.80 = 51,614.40/x
  3. Step 3: Cross multiply
    110,809.20x = 166,267.80 × 51,614.40
  4. Step 4: Simplify right side
    110,809.20x = 8,581,812,736.32
  5. Step 5: Solve for x
    x = 8,581,812,736.32/110,809.20
  6. Step 6: Final answer
    x = 77,446.75

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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.