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Finding the Fourth Proportional to 273,254.49, 376,982.51 and 165,785.13

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Solution

The fourth proportional to 273,254.49, 376,982.51 and 165,785.13 is: 228,717.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,254.49 : 376,982.51 = 165,785.13 : x
  2. Step 2: Convert to fraction form
    273,254.49/376,982.51 = 165,785.13/x
  3. Step 3: Cross multiply
    273,254.49x = 376,982.51 × 165,785.13
  4. Step 4: Simplify right side
    273,254.49x = 62,498,093,599.15
  5. Step 5: Solve for x
    x = 62,498,093,599.15/273,254.49
  6. Step 6: Final answer
    x = 228,717.54

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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.