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Finding the Fourth Proportional to 273,174.78, 377,006.07 and 165,772.14

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Solution

The fourth proportional to 273,174.78, 377,006.07 and 165,772.14 is: 228,780.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,174.78 : 377,006.07 = 165,772.14 : x
  2. Step 2: Convert to fraction form
    273,174.78/377,006.07 = 165,772.14/x
  3. Step 3: Cross multiply
    273,174.78x = 377,006.07 × 165,772.14
  4. Step 4: Simplify right side
    273,174.78x = 62,497,103,016.89
  5. Step 5: Solve for x
    x = 62,497,103,016.89/273,174.78
  6. Step 6: Final answer
    x = 228,780.65

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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.