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Finding the Fourth Proportional to 77,858.36, 106,743.81 and 76,439.60

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Solution

The fourth proportional to 77,858.36, 106,743.81 and 76,439.60 is: 104,798.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,858.36 : 106,743.81 = 76,439.60 : x
  2. Step 2: Convert to fraction form
    77,858.36/106,743.81 = 76,439.60/x
  3. Step 3: Cross multiply
    77,858.36x = 106,743.81 × 76,439.60
  4. Step 4: Simplify right side
    77,858.36x = 8,159,454,138.88
  5. Step 5: Solve for x
    x = 8,159,454,138.88/77,858.36
  6. Step 6: Final answer
    x = 104,798.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.