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Finding the Fourth Proportional to 245,158, 338,093.40 and 159,027.28

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Solution

The fourth proportional to 245,158, 338,093.40 and 159,027.28 is: 219,311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,158 : 338,093.40 = 159,027.28 : x
  2. Step 2: Convert to fraction form
    245,158/338,093.40 = 159,027.28/x
  3. Step 3: Cross multiply
    245,158x = 338,093.40 × 159,027.28
  4. Step 4: Simplify right side
    245,158x = 53,766,073,787.95
  5. Step 5: Solve for x
    x = 53,766,073,787.95/245,158
  6. Step 6: Final answer
    x = 219,311.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.