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Finding the Fourth Proportional to 231,847.92, 319,797.72 and 181,459.44

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Solution

The fourth proportional to 231,847.92, 319,797.72 and 181,459.44 is: 250,294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,847.92 : 319,797.72 = 181,459.44 : x
  2. Step 2: Convert to fraction form
    231,847.92/319,797.72 = 181,459.44/x
  3. Step 3: Cross multiply
    231,847.92x = 319,797.72 × 181,459.44
  4. Step 4: Simplify right side
    231,847.92x = 58,030,315,184.48
  5. Step 5: Solve for x
    x = 58,030,315,184.48/231,847.92
  6. Step 6: Final answer
    x = 250,294.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.