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Finding the Fourth Proportional to 110,284.34, 165,481.22 and 43,723.00

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Solution

The fourth proportional to 110,284.34, 165,481.22 and 43,723.00 is: 65,606.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,284.34 : 165,481.22 = 43,723.00 : x
  2. Step 2: Convert to fraction form
    110,284.34/165,481.22 = 43,723.00/x
  3. Step 3: Cross multiply
    110,284.34x = 165,481.22 × 43,723.00
  4. Step 4: Simplify right side
    110,284.34x = 7,235,335,077.66
  5. Step 5: Solve for x
    x = 7,235,335,077.66/110,284.34
  6. Step 6: Final answer
    x = 65,606.19

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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.