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Finding the Fourth Proportional to 116,435.66, 160,587.22 and 78,183.68

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Solution

The fourth proportional to 116,435.66, 160,587.22 and 78,183.68 is: 107,830.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,435.66 : 160,587.22 = 78,183.68 : x
  2. Step 2: Convert to fraction form
    116,435.66/160,587.22 = 78,183.68/x
  3. Step 3: Cross multiply
    116,435.66x = 160,587.22 × 78,183.68
  4. Step 4: Simplify right side
    116,435.66x = 12,555,299,820.57
  5. Step 5: Solve for x
    x = 12,555,299,820.57/116,435.66
  6. Step 6: Final answer
    x = 107,830.37

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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.