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Finding the Fourth Proportional to 136,824.26, 205,184.07 and 65,727.11

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Solution

The fourth proportional to 136,824.26, 205,184.07 and 65,727.11 is: 98,565.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,824.26 : 205,184.07 = 65,727.11 : x
  2. Step 2: Convert to fraction form
    136,824.26/205,184.07 = 65,727.11/x
  3. Step 3: Cross multiply
    136,824.26x = 205,184.07 × 65,727.11
  4. Step 4: Simplify right side
    136,824.26x = 13,486,156,452.10
  5. Step 5: Solve for x
    x = 13,486,156,452.10/136,824.26
  6. Step 6: Final answer
    x = 98,565.54

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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.