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Finding the Fourth Proportional to 277,503.88, 416,255.83 and 67,141.81

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Solution

The fourth proportional to 277,503.88, 416,255.83 and 67,141.81 is: 100,712.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,503.88 : 416,255.83 = 67,141.81 : x
  2. Step 2: Convert to fraction form
    277,503.88/416,255.83 = 67,141.81/x
  3. Step 3: Cross multiply
    277,503.88x = 416,255.83 × 67,141.81
  4. Step 4: Simplify right side
    277,503.88x = 27,948,169,849.25
  5. Step 5: Solve for x
    x = 27,948,169,849.25/277,503.88
  6. Step 6: Final answer
    x = 100,712.72

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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.