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Finding the Fourth Proportional to 110,282.80, 165,467.40 and 43,711.60

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Solution

The fourth proportional to 110,282.80, 165,467.40 and 43,711.60 is: 65,584.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,282.80 : 165,467.40 = 43,711.60 : x
  2. Step 2: Convert to fraction form
    110,282.80/165,467.40 = 43,711.60/x
  3. Step 3: Cross multiply
    110,282.80x = 165,467.40 × 43,711.60
  4. Step 4: Simplify right side
    110,282.80x = 7,232,844,801.84
  5. Step 5: Solve for x
    x = 7,232,844,801.84/110,282.80
  6. Step 6: Final answer
    x = 65,584.52

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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.