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Finding the Fourth Proportional to 277,379.88, 416,087.10 and 111,146.28

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Solution

The fourth proportional to 277,379.88, 416,087.10 and 111,146.28 is: 166,726.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,379.88 : 416,087.10 = 111,146.28 : x
  2. Step 2: Convert to fraction form
    277,379.88/416,087.10 = 111,146.28/x
  3. Step 3: Cross multiply
    277,379.88x = 416,087.10 × 111,146.28
  4. Step 4: Simplify right side
    277,379.88x = 46,246,533,320.99
  5. Step 5: Solve for x
    x = 46,246,533,320.99/277,379.88
  6. Step 6: Final answer
    x = 166,726.34

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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.