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Finding the Fourth Proportional to 110,202.32, 165,237.78 and 43,652

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Solution

The fourth proportional to 110,202.32, 165,237.78 and 43,652 is: 65,451.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,202.32 : 165,237.78 = 43,652 : x
  2. Step 2: Convert to fraction form
    110,202.32/165,237.78 = 43,652/x
  3. Step 3: Cross multiply
    110,202.32x = 165,237.78 × 43,652
  4. Step 4: Simplify right side
    110,202.32x = 7,212,959,572.56
  5. Step 5: Solve for x
    x = 7,212,959,572.56/110,202.32
  6. Step 6: Final answer
    x = 65,451.98

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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.