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Finding the Fourth Proportional to 185,912.52, 256,548.74 and 101,029

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Solution

The fourth proportional to 185,912.52, 256,548.74 and 101,029 is: 139,414.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,912.52 : 256,548.74 = 101,029 : x
  2. Step 2: Convert to fraction form
    185,912.52/256,548.74 = 101,029/x
  3. Step 3: Cross multiply
    185,912.52x = 256,548.74 × 101,029
  4. Step 4: Simplify right side
    185,912.52x = 25,918,862,653.46
  5. Step 5: Solve for x
    x = 25,918,862,653.46/185,912.52
  6. Step 6: Final answer
    x = 139,414.29

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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.