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Finding the Fourth Proportional to 233,910, 350,724.48 and 107,391.92

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Solution

The fourth proportional to 233,910, 350,724.48 and 107,391.92 is: 161,023.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,910 : 350,724.48 = 107,391.92 : x
  2. Step 2: Convert to fraction form
    233,910/350,724.48 = 107,391.92/x
  3. Step 3: Cross multiply
    233,910x = 350,724.48 × 107,391.92
  4. Step 4: Simplify right side
    233,910x = 37,664,975,298.20
  5. Step 5: Solve for x
    x = 37,664,975,298.20/233,910
  6. Step 6: Final answer
    x = 161,023.36

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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.