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Finding the Fourth Proportional to 185,978.80, 256,647.72 and 101,098

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Solution

The fourth proportional to 185,978.80, 256,647.72 and 101,098 is: 139,513.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,978.80 : 256,647.72 = 101,098 : x
  2. Step 2: Convert to fraction form
    185,978.80/256,647.72 = 101,098/x
  3. Step 3: Cross multiply
    185,978.80x = 256,647.72 × 101,098
  4. Step 4: Simplify right side
    185,978.80x = 25,946,571,196.56
  5. Step 5: Solve for x
    x = 25,946,571,196.56/185,978.80
  6. Step 6: Final answer
    x = 139,513.60

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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.