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Finding the Fourth Proportional to 231,046.64, 345,781.42 and 193,648.94

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Solution

The fourth proportional to 231,046.64, 345,781.42 and 193,648.94 is: 289,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,046.64 : 345,781.42 = 193,648.94 : x
  2. Step 2: Convert to fraction form
    231,046.64/345,781.42 = 193,648.94/x
  3. Step 3: Cross multiply
    231,046.64x = 345,781.42 × 193,648.94
  4. Step 4: Simplify right side
    231,046.64x = 66,960,205,454.69
  5. Step 5: Solve for x
    x = 66,960,205,454.69/231,046.64
  6. Step 6: Final answer
    x = 289,812.50

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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.