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Finding the Fourth Proportional to 203,265.54, 304,735.50 and 96,595.97

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Solution

The fourth proportional to 203,265.54, 304,735.50 and 96,595.97 is: 144,816.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,265.54 : 304,735.50 = 96,595.97 : x
  2. Step 2: Convert to fraction form
    203,265.54/304,735.50 = 96,595.97/x
  3. Step 3: Cross multiply
    203,265.54x = 304,735.50 × 96,595.97
  4. Step 4: Simplify right side
    203,265.54x = 29,436,219,692.26
  5. Step 5: Solve for x
    x = 29,436,219,692.26/203,265.54
  6. Step 6: Final answer
    x = 144,816.58

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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.