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Finding the Fourth Proportional to 166,833, 230,229.60 and 91,384.20

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Solution

The fourth proportional to 166,833, 230,229.60 and 91,384.20 is: 126,110.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,833 : 230,229.60 = 91,384.20 : x
  2. Step 2: Convert to fraction form
    166,833/230,229.60 = 91,384.20/x
  3. Step 3: Cross multiply
    166,833x = 230,229.60 × 91,384.20
  4. Step 4: Simplify right side
    166,833x = 21,039,347,812.32
  5. Step 5: Solve for x
    x = 21,039,347,812.32/166,833
  6. Step 6: Final answer
    x = 126,110.23

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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.