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Finding the Fourth Proportional to 216,906.60, 324,971.10 and 185,802.60

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Solution

The fourth proportional to 216,906.60, 324,971.10 and 185,802.60 is: 278,370.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,906.60 : 324,971.10 = 185,802.60 : x
  2. Step 2: Convert to fraction form
    216,906.60/324,971.10 = 185,802.60/x
  3. Step 3: Cross multiply
    216,906.60x = 324,971.10 × 185,802.60
  4. Step 4: Simplify right side
    216,906.60x = 60,380,475,304.86
  5. Step 5: Solve for x
    x = 60,380,475,304.86/216,906.60
  6. Step 6: Final answer
    x = 278,370.85

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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.