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Finding the Fourth Proportional to 377,687.81, 566,475.78 and 137,745.44

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Solution

The fourth proportional to 377,687.81, 566,475.78 and 137,745.44 is: 206,597.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,687.81 : 566,475.78 = 137,745.44 : x
  2. Step 2: Convert to fraction form
    377,687.81/566,475.78 = 137,745.44/x
  3. Step 3: Cross multiply
    377,687.81x = 566,475.78 × 137,745.44
  4. Step 4: Simplify right side
    377,687.81x = 78,029,455,373.89
  5. Step 5: Solve for x
    x = 78,029,455,373.89/377,687.81
  6. Step 6: Final answer
    x = 206,597.76

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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.