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Finding the Fourth Proportional to 116,569.71, 160,932.56 and 76,940.91

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Solution

The fourth proportional to 116,569.71, 160,932.56 and 76,940.91 is: 106,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,569.71 : 160,932.56 = 76,940.91 : x
  2. Step 2: Convert to fraction form
    116,569.71/160,932.56 = 76,940.91/x
  3. Step 3: Cross multiply
    116,569.71x = 160,932.56 × 76,940.91
  4. Step 4: Simplify right side
    116,569.71x = 12,382,297,230.33
  5. Step 5: Solve for x
    x = 12,382,297,230.33/116,569.71
  6. Step 6: Final answer
    x = 106,222.25

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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.