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Finding the Fourth Proportional to 277,834.15, 416,503.68 and 100,301.64

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Solution

The fourth proportional to 277,834.15, 416,503.68 and 100,301.64 is: 150,363.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,834.15 : 416,503.68 = 100,301.64 : x
  2. Step 2: Convert to fraction form
    277,834.15/416,503.68 = 100,301.64/x
  3. Step 3: Cross multiply
    277,834.15x = 416,503.68 × 100,301.64
  4. Step 4: Simplify right side
    277,834.15x = 41,776,002,170.04
  5. Step 5: Solve for x
    x = 41,776,002,170.04/277,834.15
  6. Step 6: Final answer
    x = 150,363.09

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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.