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Finding the Fourth Proportional to 164,867.85, 227,550.78 and 96,906.78

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Solution

The fourth proportional to 164,867.85, 227,550.78 and 96,906.78 is: 133,750.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,867.85 : 227,550.78 = 96,906.78 : x
  2. Step 2: Convert to fraction form
    164,867.85/227,550.78 = 96,906.78/x
  3. Step 3: Cross multiply
    164,867.85x = 227,550.78 × 96,906.78
  4. Step 4: Simplify right side
    164,867.85x = 22,051,213,376.29
  5. Step 5: Solve for x
    x = 22,051,213,376.29/164,867.85
  6. Step 6: Final answer
    x = 133,750.84

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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.