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Finding the Fourth Proportional to 202,220.80, 303,561.60 and 119,161.60

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Solution

The fourth proportional to 202,220.80, 303,561.60 and 119,161.60 is: 178,878.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,220.80 : 303,561.60 = 119,161.60 : x
  2. Step 2: Convert to fraction form
    202,220.80/303,561.60 = 119,161.60/x
  3. Step 3: Cross multiply
    202,220.80x = 303,561.60 × 119,161.60
  4. Step 4: Simplify right side
    202,220.80x = 36,172,885,954.56
  5. Step 5: Solve for x
    x = 36,172,885,954.56/202,220.80
  6. Step 6: Final answer
    x = 178,878.17

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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.