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Finding the Fourth Proportional to 101,729.26, 140,388.06 and 56,409.15

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Solution

The fourth proportional to 101,729.26, 140,388.06 and 56,409.15 is: 77,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,729.26 : 140,388.06 = 56,409.15 : x
  2. Step 2: Convert to fraction form
    101,729.26/140,388.06 = 56,409.15/x
  3. Step 3: Cross multiply
    101,729.26x = 140,388.06 × 56,409.15
  4. Step 4: Simplify right side
    101,729.26x = 7,919,171,319.25
  5. Step 5: Solve for x
    x = 7,919,171,319.25/101,729.26
  6. Step 6: Final answer
    x = 77,845.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.