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Finding the Fourth Proportional to 110,701.60, 165,882.30 and 82,489.30

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Solution

The fourth proportional to 110,701.60, 165,882.30 and 82,489.30 is: 123,607.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,701.60 : 165,882.30 = 82,489.30 : x
  2. Step 2: Convert to fraction form
    110,701.60/165,882.30 = 82,489.30/x
  3. Step 3: Cross multiply
    110,701.60x = 165,882.30 × 82,489.30
  4. Step 4: Simplify right side
    110,701.60x = 13,683,514,809.39
  5. Step 5: Solve for x
    x = 13,683,514,809.39/110,701.60
  6. Step 6: Final answer
    x = 123,607.20

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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.