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Finding the Fourth Proportional to 231,683.74, 347,554.22 and 81,893.14

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Solution

The fourth proportional to 231,683.74, 347,554.22 and 81,893.14 is: 122,849.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,683.74 : 347,554.22 = 81,893.14 : x
  2. Step 2: Convert to fraction form
    231,683.74/347,554.22 = 81,893.14/x
  3. Step 3: Cross multiply
    231,683.74x = 347,554.22 × 81,893.14
  4. Step 4: Simplify right side
    231,683.74x = 28,462,306,396.05
  5. Step 5: Solve for x
    x = 28,462,306,396.05/231,683.74
  6. Step 6: Final answer
    x = 122,849.82

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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.