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Finding the Fourth Proportional to 164,940.52, 227,672.76 and 117,331.96

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Solution

The fourth proportional to 164,940.52, 227,672.76 and 117,331.96 is: 161,957.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,940.52 : 227,672.76 = 117,331.96 : x
  2. Step 2: Convert to fraction form
    164,940.52/227,672.76 = 117,331.96/x
  3. Step 3: Cross multiply
    164,940.52x = 227,672.76 × 117,331.96
  4. Step 4: Simplify right side
    164,940.52x = 26,713,291,169.41
  5. Step 5: Solve for x
    x = 26,713,291,169.41/164,940.52
  6. Step 6: Final answer
    x = 161,957.12

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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.