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Finding the Fourth Proportional to 275,093.38, 412,758.85 and 148,822.57

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Solution

The fourth proportional to 275,093.38, 412,758.85 and 148,822.57 is: 223,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,093.38 : 412,758.85 = 148,822.57 : x
  2. Step 2: Convert to fraction form
    275,093.38/412,758.85 = 148,822.57/x
  3. Step 3: Cross multiply
    275,093.38x = 412,758.85 × 148,822.57
  4. Step 4: Simplify right side
    275,093.38x = 61,427,834,775.84
  5. Step 5: Solve for x
    x = 61,427,834,775.84/275,093.38
  6. Step 6: Final answer
    x = 223,298.12

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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.