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Finding the Fourth Proportional to 185,905.38, 256,549.23 and 101,022.24

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Solution

The fourth proportional to 185,905.38, 256,549.23 and 101,022.24 is: 139,410.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,905.38 : 256,549.23 = 101,022.24 : x
  2. Step 2: Convert to fraction form
    185,905.38/256,549.23 = 101,022.24/x
  3. Step 3: Cross multiply
    185,905.38x = 256,549.23 × 101,022.24
  4. Step 4: Simplify right side
    185,905.38x = 25,917,177,884.88
  5. Step 5: Solve for x
    x = 25,917,177,884.88/185,905.38
  6. Step 6: Final answer
    x = 139,410.59

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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.