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Finding the Fourth Proportional to 116,571.96, 160,935.66 and 76,943.16

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Solution

The fourth proportional to 116,571.96, 160,935.66 and 76,943.16 is: 106,225.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,571.96 : 160,935.66 = 76,943.16 : x
  2. Step 2: Convert to fraction form
    116,571.96/160,935.66 = 76,943.16/x
  3. Step 3: Cross multiply
    116,571.96x = 160,935.66 × 76,943.16
  4. Step 4: Simplify right side
    116,571.96x = 12,382,898,237.09
  5. Step 5: Solve for x
    x = 12,382,898,237.09/116,571.96
  6. Step 6: Final answer
    x = 106,225.36

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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.