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Finding the Fourth Proportional to 216,736.60, 324,716.10 and 185,632.60

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Solution

The fourth proportional to 216,736.60, 324,716.10 and 185,632.60 is: 278,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,736.60 : 324,716.10 = 185,632.60 : x
  2. Step 2: Convert to fraction form
    216,736.60/324,716.10 = 185,632.60/x
  3. Step 3: Cross multiply
    216,736.60x = 324,716.10 × 185,632.60
  4. Step 4: Simplify right side
    216,736.60x = 60,277,893,904.86
  5. Step 5: Solve for x
    x = 60,277,893,904.86/216,736.60
  6. Step 6: Final answer
    x = 278,115.90

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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.