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Finding the Fourth Proportional to 231,978.24, 347,992.32 and 74,150.40

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Solution

The fourth proportional to 231,978.24, 347,992.32 and 74,150.40 is: 111,233.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,978.24 : 347,992.32 = 74,150.40 : x
  2. Step 2: Convert to fraction form
    231,978.24/347,992.32 = 74,150.40/x
  3. Step 3: Cross multiply
    231,978.24x = 347,992.32 × 74,150.40
  4. Step 4: Simplify right side
    231,978.24x = 25,803,769,724.93
  5. Step 5: Solve for x
    x = 25,803,769,724.93/231,978.24
  6. Step 6: Final answer
    x = 111,233.58

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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.