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Finding the Fourth Proportional to 232,970.86, 349,367.82 and 83,183.26

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Solution

The fourth proportional to 232,970.86, 349,367.82 and 83,183.26 is: 124,743.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,970.86 : 349,367.82 = 83,183.26 : x
  2. Step 2: Convert to fraction form
    232,970.86/349,367.82 = 83,183.26/x
  3. Step 3: Cross multiply
    232,970.86x = 349,367.82 × 83,183.26
  4. Step 4: Simplify right side
    232,970.86x = 29,061,554,206.69
  5. Step 5: Solve for x
    x = 29,061,554,206.69/232,970.86
  6. Step 6: Final answer
    x = 124,743.30

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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.