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Finding the Fourth Proportional to 377,141.45, 565,338.49 and 177,103.76

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Solution

The fourth proportional to 377,141.45, 565,338.49 and 177,103.76 is: 265,480.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,141.45 : 565,338.49 = 177,103.76 : x
  2. Step 2: Convert to fraction form
    377,141.45/565,338.49 = 177,103.76/x
  3. Step 3: Cross multiply
    377,141.45x = 565,338.49 × 177,103.76
  4. Step 4: Simplify right side
    377,141.45x = 100,123,568,982.27
  5. Step 5: Solve for x
    x = 100,123,568,982.27/377,141.45
  6. Step 6: Final answer
    x = 265,480.15

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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.