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Finding the Fourth Proportional to 100,785.42, 139,083.91 and 55,463.41

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Solution

The fourth proportional to 100,785.42, 139,083.91 and 55,463.41 is: 76,539.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,785.42 : 139,083.91 = 55,463.41 : x
  2. Step 2: Convert to fraction form
    100,785.42/139,083.91 = 55,463.41/x
  3. Step 3: Cross multiply
    100,785.42x = 139,083.91 × 55,463.41
  4. Step 4: Simplify right side
    100,785.42x = 7,714,067,329.22
  5. Step 5: Solve for x
    x = 7,714,067,329.22/100,785.42
  6. Step 6: Final answer
    x = 76,539.51

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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.