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Finding the Fourth Proportional to 116,224.12, 160,382.54 and 65,232.12

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Solution

The fourth proportional to 116,224.12, 160,382.54 and 65,232.12 is: 90,016.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,224.12 : 160,382.54 = 65,232.12 : x
  2. Step 2: Convert to fraction form
    116,224.12/160,382.54 = 65,232.12/x
  3. Step 3: Cross multiply
    116,224.12x = 160,382.54 × 65,232.12
  4. Step 4: Simplify right side
    116,224.12x = 10,462,093,095.18
  5. Step 5: Solve for x
    x = 10,462,093,095.18/116,224.12
  6. Step 6: Final answer
    x = 90,016.54

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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.