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Finding the Fourth Proportional to 185,595.89, 256,123.02 and 100,712.96

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Solution

The fourth proportional to 185,595.89, 256,123.02 and 100,712.96 is: 138,984.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,595.89 : 256,123.02 = 100,712.96 : x
  2. Step 2: Convert to fraction form
    185,595.89/256,123.02 = 100,712.96/x
  3. Step 3: Cross multiply
    185,595.89x = 256,123.02 × 100,712.96
  4. Step 4: Simplify right side
    185,595.89x = 25,794,906,187.72
  5. Step 5: Solve for x
    x = 25,794,906,187.72/185,595.89
  6. Step 6: Final answer
    x = 138,984.26

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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.