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Finding the Fourth Proportional to 331,204.70, 497,136.65 and 153,751.90

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Solution

The fourth proportional to 331,204.70, 497,136.65 and 153,751.90 is: 230,780.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,204.70 : 497,136.65 = 153,751.90 : x
  2. Step 2: Convert to fraction form
    331,204.70/497,136.65 = 153,751.90/x
  3. Step 3: Cross multiply
    331,204.70x = 497,136.65 × 153,751.90
  4. Step 4: Simplify right side
    331,204.70x = 76,435,704,497.14
  5. Step 5: Solve for x
    x = 76,435,704,497.14/331,204.70
  6. Step 6: Final answer
    x = 230,780.86

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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.