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Finding the Fourth Proportional to 276,868.73, 415,297.23 and 77,183.89

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Solution

The fourth proportional to 276,868.73, 415,297.23 and 77,183.89 is: 115,774.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,868.73 : 415,297.23 = 77,183.89 : x
  2. Step 2: Convert to fraction form
    276,868.73/415,297.23 = 77,183.89/x
  3. Step 3: Cross multiply
    276,868.73x = 415,297.23 × 77,183.89
  4. Step 4: Simplify right side
    276,868.73x = 32,054,254,389.94
  5. Step 5: Solve for x
    x = 32,054,254,389.94/276,868.73
  6. Step 6: Final answer
    x = 115,774.19

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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.