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Finding the Fourth Proportional to 185,930.76, 256,586.42 and 101,047.80

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Solution

The fourth proportional to 185,930.76, 256,586.42 and 101,047.80 is: 139,447.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,930.76 : 256,586.42 = 101,047.80 : x
  2. Step 2: Convert to fraction form
    185,930.76/256,586.42 = 101,047.80/x
  3. Step 3: Cross multiply
    185,930.76x = 256,586.42 × 101,047.80
  4. Step 4: Simplify right side
    185,930.76x = 25,927,493,250.88
  5. Step 5: Solve for x
    x = 25,927,493,250.88/185,930.76
  6. Step 6: Final answer
    x = 139,447.04

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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.