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Finding the Fourth Proportional to 193,912.52, 290,570.70 and 114,869.48

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Solution

The fourth proportional to 193,912.52, 290,570.70 and 114,869.48 is: 172,127.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,912.52 : 290,570.70 = 114,869.48 : x
  2. Step 2: Convert to fraction form
    193,912.52/290,570.70 = 114,869.48/x
  3. Step 3: Cross multiply
    193,912.52x = 290,570.70 × 114,869.48
  4. Step 4: Simplify right side
    193,912.52x = 33,377,705,212.24
  5. Step 5: Solve for x
    x = 33,377,705,212.24/193,912.52
  6. Step 6: Final answer
    x = 172,127.64

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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.