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Finding the Fourth Proportional to 231,898.94, 347,892.13 and 87,847.88

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Solution

The fourth proportional to 231,898.94, 347,892.13 and 87,847.88 is: 131,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,898.94 : 347,892.13 = 87,847.88 : x
  2. Step 2: Convert to fraction form
    231,898.94/347,892.13 = 87,847.88/x
  3. Step 3: Cross multiply
    231,898.94x = 347,892.13 × 87,847.88
  4. Step 4: Simplify right side
    231,898.94x = 30,561,586,089.18
  5. Step 5: Solve for x
    x = 30,561,586,089.18/231,898.94
  6. Step 6: Final answer
    x = 131,788.38

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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.