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Finding the Fourth Proportional to 82,283.20, 113,737.44 and 75,751.36

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Solution

The fourth proportional to 82,283.20, 113,737.44 and 75,751.36 is: 104,708.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,283.20 : 113,737.44 = 75,751.36 : x
  2. Step 2: Convert to fraction form
    82,283.20/113,737.44 = 75,751.36/x
  3. Step 3: Cross multiply
    82,283.20x = 113,737.44 × 75,751.36
  4. Step 4: Simplify right side
    82,283.20x = 8,615,765,762.92
  5. Step 5: Solve for x
    x = 8,615,765,762.92/82,283.20
  6. Step 6: Final answer
    x = 104,708.69

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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.