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Finding the Fourth Proportional to 185,900.36, 256,542 and 101,017.44

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Solution

The fourth proportional to 185,900.36, 256,542 and 101,017.44 is: 139,403.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,900.36 : 256,542 = 101,017.44 : x
  2. Step 2: Convert to fraction form
    185,900.36/256,542 = 101,017.44/x
  3. Step 3: Cross multiply
    185,900.36x = 256,542 × 101,017.44
  4. Step 4: Simplify right side
    185,900.36x = 25,915,216,092.48
  5. Step 5: Solve for x
    x = 25,915,216,092.48/185,900.36
  6. Step 6: Final answer
    x = 139,403.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.