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Finding the Fourth Proportional to 106,684.87, 160,127.75 and 54,132.07

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Solution

The fourth proportional to 106,684.87, 160,127.75 and 54,132.07 is: 81,249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,684.87 : 160,127.75 = 54,132.07 : x
  2. Step 2: Convert to fraction form
    106,684.87/160,127.75 = 54,132.07/x
  3. Step 3: Cross multiply
    106,684.87x = 160,127.75 × 54,132.07
  4. Step 4: Simplify right side
    106,684.87x = 8,668,046,301.28
  5. Step 5: Solve for x
    x = 8,668,046,301.28/106,684.87
  6. Step 6: Final answer
    x = 81,249.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.