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Finding the Fourth Proportional to 202,153.20, 303,229.80 and 123,421.20

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Solution

The fourth proportional to 202,153.20, 303,229.80 and 123,421.20 is: 185,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,153.20 : 303,229.80 = 123,421.20 : x
  2. Step 2: Convert to fraction form
    202,153.20/303,229.80 = 123,421.20/x
  3. Step 3: Cross multiply
    202,153.20x = 303,229.80 × 123,421.20
  4. Step 4: Simplify right side
    202,153.20x = 37,424,985,791.76
  5. Step 5: Solve for x
    x = 37,424,985,791.76/202,153.20
  6. Step 6: Final answer
    x = 185,131.80

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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.