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Finding the Fourth Proportional to 252,503.67, 378,755.94 and 202,222.50

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Solution

The fourth proportional to 252,503.67, 378,755.94 and 202,222.50 is: 303,334.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,503.67 : 378,755.94 = 202,222.50 : x
  2. Step 2: Convert to fraction form
    252,503.67/378,755.94 = 202,222.50/x
  3. Step 3: Cross multiply
    252,503.67x = 378,755.94 × 202,222.50
  4. Step 4: Simplify right side
    252,503.67x = 76,592,972,763.26
  5. Step 5: Solve for x
    x = 76,592,972,763.26/252,503.67
  6. Step 6: Final answer
    x = 303,334.09

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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.