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Finding the Fourth Proportional to 231,922.44, 347,886.90 and 65,710.44

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Solution

The fourth proportional to 231,922.44, 347,886.90 and 65,710.44 is: 98,566.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,922.44 : 347,886.90 = 65,710.44 : x
  2. Step 2: Convert to fraction form
    231,922.44/347,886.90 = 65,710.44/x
  3. Step 3: Cross multiply
    231,922.44x = 347,886.90 × 65,710.44
  4. Step 4: Simplify right side
    231,922.44x = 22,859,801,269.24
  5. Step 5: Solve for x
    x = 22,859,801,269.24/231,922.44
  6. Step 6: Final answer
    x = 98,566.58

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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.