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Finding the Fourth Proportional to 153,958.34, 231,016.79 and 116,505.97

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Solution

The fourth proportional to 153,958.34, 231,016.79 and 116,505.97 is: 174,818.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,958.34 : 231,016.79 = 116,505.97 : x
  2. Step 2: Convert to fraction form
    153,958.34/231,016.79 = 116,505.97/x
  3. Step 3: Cross multiply
    153,958.34x = 231,016.79 × 116,505.97
  4. Step 4: Simplify right side
    153,958.34x = 26,914,834,918.96
  5. Step 5: Solve for x
    x = 26,914,834,918.96/153,958.34
  6. Step 6: Final answer
    x = 174,818.94

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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.