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Finding the Fourth Proportional to 80,206, 110,682.68 and 44,396

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Solution

The fourth proportional to 80,206, 110,682.68 and 44,396 is: 61,265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,206 : 110,682.68 = 44,396 : x
  2. Step 2: Convert to fraction form
    80,206/110,682.68 = 44,396/x
  3. Step 3: Cross multiply
    80,206x = 110,682.68 × 44,396
  4. Step 4: Simplify right side
    80,206x = 4,913,868,261.28
  5. Step 5: Solve for x
    x = 4,913,868,261.28/80,206
  6. Step 6: Final answer
    x = 61,265.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.