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Finding the Fourth Proportional to 116,024.57, 160,084.03 and 68,268.99

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Solution

The fourth proportional to 116,024.57, 160,084.03 and 68,268.99 is: 94,193.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,024.57 : 160,084.03 = 68,268.99 : x
  2. Step 2: Convert to fraction form
    116,024.57/160,084.03 = 68,268.99/x
  3. Step 3: Cross multiply
    116,024.57x = 160,084.03 × 68,268.99
  4. Step 4: Simplify right side
    116,024.57x = 10,928,775,043.23
  5. Step 5: Solve for x
    x = 10,928,775,043.23/116,024.57
  6. Step 6: Final answer
    x = 94,193.63

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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.