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Finding the Fourth Proportional to 216,103.74, 324,188.01 and 75,837.66

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Solution

The fourth proportional to 216,103.74, 324,188.01 and 75,837.66 is: 113,767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,103.74 : 324,188.01 = 75,837.66 : x
  2. Step 2: Convert to fraction form
    216,103.74/324,188.01 = 75,837.66/x
  3. Step 3: Cross multiply
    216,103.74x = 324,188.01 × 75,837.66
  4. Step 4: Simplify right side
    216,103.74x = 24,585,660,078.46
  5. Step 5: Solve for x
    x = 24,585,660,078.46/216,103.74
  6. Step 6: Final answer
    x = 113,767.86

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1.5x scale

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.