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Finding the Fourth Proportional to 205,052.80, 307,233.60 and 99,644.80

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Solution

The fourth proportional to 205,052.80, 307,233.60 and 99,644.80 is: 149,299.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,052.80 : 307,233.60 = 99,644.80 : x
  2. Step 2: Convert to fraction form
    205,052.80/307,233.60 = 99,644.80/x
  3. Step 3: Cross multiply
    205,052.80x = 307,233.60 × 99,644.80
  4. Step 4: Simplify right side
    205,052.80x = 30,614,230,625.28
  5. Step 5: Solve for x
    x = 30,614,230,625.28/205,052.80
  6. Step 6: Final answer
    x = 149,299.26

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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.