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Finding the Fourth Proportional to 185,912.34, 256,557.86 and 101,029.41

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Solution

The fourth proportional to 185,912.34, 256,557.86 and 101,029.41 is: 139,419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,912.34 : 256,557.86 = 101,029.41 : x
  2. Step 2: Convert to fraction form
    185,912.34/256,557.86 = 101,029.41/x
  3. Step 3: Cross multiply
    185,912.34x = 256,557.86 × 101,029.41
  4. Step 4: Simplify right side
    185,912.34x = 25,919,888,721.52
  5. Step 5: Solve for x
    x = 25,919,888,721.52/185,912.34
  6. Step 6: Final answer
    x = 139,419.95

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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.