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Finding the Fourth Proportional to 354,136.50, 488,708.37 and 195,160.50

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Solution

The fourth proportional to 354,136.50, 488,708.37 and 195,160.50 is: 269,321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,136.50 : 488,708.37 = 195,160.50 : x
  2. Step 2: Convert to fraction form
    354,136.50/488,708.37 = 195,160.50/x
  3. Step 3: Cross multiply
    354,136.50x = 488,708.37 × 195,160.50
  4. Step 4: Simplify right side
    354,136.50x = 95,376,569,843.39
  5. Step 5: Solve for x
    x = 95,376,569,843.39/354,136.50
  6. Step 6: Final answer
    x = 269,321.49

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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.