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Finding the Fourth Proportional to 101,296.77, 139,794.42 and 61,023.16

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Solution

The fourth proportional to 101,296.77, 139,794.42 and 61,023.16 is: 84,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,296.77 : 139,794.42 = 61,023.16 : x
  2. Step 2: Convert to fraction form
    101,296.77/139,794.42 = 61,023.16/x
  3. Step 3: Cross multiply
    101,296.77x = 139,794.42 × 61,023.16
  4. Step 4: Simplify right side
    101,296.77x = 8,530,697,258.77
  5. Step 5: Solve for x
    x = 8,530,697,258.77/101,296.77
  6. Step 6: Final answer
    x = 84,214.90

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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.