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Finding the Fourth Proportional to 133,046.50, 199,657.23 and 49,940.50

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Solution

The fourth proportional to 133,046.50, 199,657.23 and 49,940.50 is: 74,943.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,046.50 : 199,657.23 = 49,940.50 : x
  2. Step 2: Convert to fraction form
    133,046.50/199,657.23 = 49,940.50/x
  3. Step 3: Cross multiply
    133,046.50x = 199,657.23 × 49,940.50
  4. Step 4: Simplify right side
    133,046.50x = 9,970,981,894.82
  5. Step 5: Solve for x
    x = 9,970,981,894.82/133,046.50
  6. Step 6: Final answer
    x = 74,943.59

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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.