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Finding the Fourth Proportional to 193,786.96, 290,428.92 and 87,092.08

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Solution

The fourth proportional to 193,786.96, 290,428.92 and 87,092.08 is: 130,525.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,786.96 : 290,428.92 = 87,092.08 : x
  2. Step 2: Convert to fraction form
    193,786.96/290,428.92 = 87,092.08/x
  3. Step 3: Cross multiply
    193,786.96x = 290,428.92 × 87,092.08
  4. Step 4: Simplify right side
    193,786.96x = 25,294,058,734.95
  5. Step 5: Solve for x
    x = 25,294,058,734.95/193,786.96
  6. Step 6: Final answer
    x = 130,525.08

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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.