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Finding the Fourth Proportional to 231,552.68, 347,329.26 and 73,781

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Solution

The fourth proportional to 231,552.68, 347,329.26 and 73,781 is: 110,671.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,552.68 : 347,329.26 = 73,781 : x
  2. Step 2: Convert to fraction form
    231,552.68/347,329.26 = 73,781/x
  3. Step 3: Cross multiply
    231,552.68x = 347,329.26 × 73,781
  4. Step 4: Simplify right side
    231,552.68x = 25,626,300,132.06
  5. Step 5: Solve for x
    x = 25,626,300,132.06/231,552.68
  6. Step 6: Final answer
    x = 110,671.58

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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.