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Finding the Fourth Proportional to 110,274.57, 165,118.10 and 75,282.57

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Solution

The fourth proportional to 110,274.57, 165,118.10 and 75,282.57 is: 112,723.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,274.57 : 165,118.10 = 75,282.57 : x
  2. Step 2: Convert to fraction form
    110,274.57/165,118.10 = 75,282.57/x
  3. Step 3: Cross multiply
    110,274.57x = 165,118.10 × 75,282.57
  4. Step 4: Simplify right side
    110,274.57x = 12,430,514,545.10
  5. Step 5: Solve for x
    x = 12,430,514,545.10/110,274.57
  6. Step 6: Final answer
    x = 112,723.31

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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.