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Finding the Fourth Proportional to 203,203.60, 304,805.40 and 119,222.80

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Solution

The fourth proportional to 203,203.60, 304,805.40 and 119,222.80 is: 178,834.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,203.60 : 304,805.40 = 119,222.80 : x
  2. Step 2: Convert to fraction form
    203,203.60/304,805.40 = 119,222.80/x
  3. Step 3: Cross multiply
    203,203.60x = 304,805.40 × 119,222.80
  4. Step 4: Simplify right side
    203,203.60x = 36,339,753,243.12
  5. Step 5: Solve for x
    x = 36,339,753,243.12/203,203.60
  6. Step 6: Final answer
    x = 178,834.20

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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.