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Finding the Fourth Proportional to 185,596.78, 256,124.22 and 100,713.84

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Solution

The fourth proportional to 185,596.78, 256,124.22 and 100,713.84 is: 138,985.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,596.78 : 256,124.22 = 100,713.84 : x
  2. Step 2: Convert to fraction form
    185,596.78/256,124.22 = 100,713.84/x
  3. Step 3: Cross multiply
    185,596.78x = 256,124.22 × 100,713.84
  4. Step 4: Simplify right side
    185,596.78x = 25,795,253,713.20
  5. Step 5: Solve for x
    x = 25,795,253,713.20/185,596.78
  6. Step 6: Final answer
    x = 138,985.46

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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.