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Finding the Fourth Proportional to 110,398.60, 165,427.80 and 82,186.30

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Solution

The fourth proportional to 110,398.60, 165,427.80 and 82,186.30 is: 123,152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,398.60 : 165,427.80 = 82,186.30 : x
  2. Step 2: Convert to fraction form
    110,398.60/165,427.80 = 82,186.30/x
  3. Step 3: Cross multiply
    110,398.60x = 165,427.80 × 82,186.30
  4. Step 4: Simplify right side
    110,398.60x = 13,595,898,799.14
  5. Step 5: Solve for x
    x = 13,595,898,799.14/110,398.60
  6. Step 6: Final answer
    x = 123,152.82

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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.