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Finding the Fourth Proportional to 277,472.36, 416,209.62 and 67,109.96

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Solution

The fourth proportional to 277,472.36, 416,209.62 and 67,109.96 is: 100,665.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,472.36 : 416,209.62 = 67,109.96 : x
  2. Step 2: Convert to fraction form
    277,472.36/416,209.62 = 67,109.96/x
  3. Step 3: Cross multiply
    277,472.36x = 416,209.62 × 67,109.96
  4. Step 4: Simplify right side
    277,472.36x = 27,931,810,949.82
  5. Step 5: Solve for x
    x = 27,931,810,949.82/277,472.36
  6. Step 6: Final answer
    x = 100,665.20

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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.