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Finding the Fourth Proportional to 110,287.20, 165,301.20 and 47,107.20

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Solution

The fourth proportional to 110,287.20, 165,301.20 and 47,107.20 is: 70,605.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,287.20 : 165,301.20 = 47,107.20 : x
  2. Step 2: Convert to fraction form
    110,287.20/165,301.20 = 47,107.20/x
  3. Step 3: Cross multiply
    110,287.20x = 165,301.20 × 47,107.20
  4. Step 4: Simplify right side
    110,287.20x = 7,786,876,688.64
  5. Step 5: Solve for x
    x = 7,786,876,688.64/110,287.20
  6. Step 6: Final answer
    x = 70,605.44

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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.