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Finding the Fourth Proportional to 101,769.34, 140,440.76 and 56,447.41

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Solution

The fourth proportional to 101,769.34, 140,440.76 and 56,447.41 is: 77,896.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,769.34 : 140,440.76 = 56,447.41 : x
  2. Step 2: Convert to fraction form
    101,769.34/140,440.76 = 56,447.41/x
  3. Step 3: Cross multiply
    101,769.34x = 140,440.76 × 56,447.41
  4. Step 4: Simplify right side
    101,769.34x = 7,927,517,160.43
  5. Step 5: Solve for x
    x = 7,927,517,160.43/101,769.34
  6. Step 6: Final answer
    x = 77,896.91

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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.