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Finding the Fourth Proportional to 110,782, 166,197.30 and 35,909.56

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Solution

The fourth proportional to 110,782, 166,197.30 and 35,909.56 is: 53,872.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,782 : 166,197.30 = 35,909.56 : x
  2. Step 2: Convert to fraction form
    110,782/166,197.30 = 35,909.56/x
  3. Step 3: Cross multiply
    110,782x = 166,197.30 × 35,909.56
  4. Step 4: Simplify right side
    110,782x = 5,968,071,916.19
  5. Step 5: Solve for x
    x = 5,968,071,916.19/110,782
  6. Step 6: Final answer
    x = 53,872.22

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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.