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Finding the Fourth Proportional to 117,059.32, 161,558.78 and 76,833.10

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Solution

The fourth proportional to 117,059.32, 161,558.78 and 76,833.10 is: 106,040.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,059.32 : 161,558.78 = 76,833.10 : x
  2. Step 2: Convert to fraction form
    117,059.32/161,558.78 = 76,833.10/x
  3. Step 3: Cross multiply
    117,059.32x = 161,558.78 × 76,833.10
  4. Step 4: Simplify right side
    117,059.32x = 12,413,061,899.62
  5. Step 5: Solve for x
    x = 12,413,061,899.62/117,059.32
  6. Step 6: Final answer
    x = 106,040.78

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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.