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Finding the Fourth Proportional to 343,800.89, 515,806.92 and 164,115.62

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Solution

The fourth proportional to 343,800.89, 515,806.92 and 164,115.62 is: 246,223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,800.89 : 515,806.92 = 164,115.62 : x
  2. Step 2: Convert to fraction form
    343,800.89/515,806.92 = 164,115.62/x
  3. Step 3: Cross multiply
    343,800.89x = 515,806.92 × 164,115.62
  4. Step 4: Simplify right side
    343,800.89x = 84,651,969,897.06
  5. Step 5: Solve for x
    x = 84,651,969,897.06/343,800.89
  6. Step 6: Final answer
    x = 246,223.82

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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.