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Finding the Fourth Proportional to 277,599.38, 383,087.34 and 150,275.07

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Solution

The fourth proportional to 277,599.38, 383,087.34 and 150,275.07 is: 207,379.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,599.38 : 383,087.34 = 150,275.07 : x
  2. Step 2: Convert to fraction form
    277,599.38/383,087.34 = 150,275.07/x
  3. Step 3: Cross multiply
    277,599.38x = 383,087.34 × 150,275.07
  4. Step 4: Simplify right side
    277,599.38x = 57,568,476,834.61
  5. Step 5: Solve for x
    x = 57,568,476,834.61/277,599.38
  6. Step 6: Final answer
    x = 207,379.71

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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.