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Finding the Fourth Proportional to 101,077, 139,531.10 and 65,284.47

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Solution

The fourth proportional to 101,077, 139,531.10 and 65,284.47 is: 90,121.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,077 : 139,531.10 = 65,284.47 : x
  2. Step 2: Convert to fraction form
    101,077/139,531.10 = 65,284.47/x
  3. Step 3: Cross multiply
    101,077x = 139,531.10 × 65,284.47
  4. Step 4: Simplify right side
    101,077x = 9,109,213,912.02
  5. Step 5: Solve for x
    x = 9,109,213,912.02/101,077
  6. Step 6: Final answer
    x = 90,121.53

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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.