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Finding the Fourth Proportional to 185,067.26, 277,603.16 and 65,127.78

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Solution

The fourth proportional to 185,067.26, 277,603.16 and 65,127.78 is: 97,692.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,067.26 : 277,603.16 = 65,127.78 : x
  2. Step 2: Convert to fraction form
    185,067.26/277,603.16 = 65,127.78/x
  3. Step 3: Cross multiply
    185,067.26x = 277,603.16 × 65,127.78
  4. Step 4: Simplify right side
    185,067.26x = 18,079,677,531.78
  5. Step 5: Solve for x
    x = 18,079,677,531.78/185,067.26
  6. Step 6: Final answer
    x = 97,692.47

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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.