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Finding the Fourth Proportional to 277,504, 416,256.02 and 67,141.94

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Solution

The fourth proportional to 277,504, 416,256.02 and 67,141.94 is: 100,712.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,504 : 416,256.02 = 67,141.94 : x
  2. Step 2: Convert to fraction form
    277,504/416,256.02 = 67,141.94/x
  3. Step 3: Cross multiply
    277,504x = 416,256.02 × 67,141.94
  4. Step 4: Simplify right side
    277,504x = 27,948,236,719.48
  5. Step 5: Solve for x
    x = 27,948,236,719.48/277,504
  6. Step 6: Final answer
    x = 100,712.91

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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.