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Finding the Fourth Proportional to 110,302.36, 165,471.76 and 43,742.84

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Solution

The fourth proportional to 110,302.36, 165,471.76 and 43,742.84 is: 65,621.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,302.36 : 165,471.76 = 43,742.84 : x
  2. Step 2: Convert to fraction form
    110,302.36/165,471.76 = 43,742.84/x
  3. Step 3: Cross multiply
    110,302.36x = 165,471.76 × 43,742.84
  4. Step 4: Simplify right side
    110,302.36x = 7,238,203,949.52
  5. Step 5: Solve for x
    x = 7,238,203,949.52/110,302.36
  6. Step 6: Final answer
    x = 65,621.48

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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.