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Finding the Fourth Proportional to 106,857.57, 160,308.23 and 36,727.77

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Solution

The fourth proportional to 106,857.57, 160,308.23 and 36,727.77 is: 55,099.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,857.57 : 160,308.23 = 36,727.77 : x
  2. Step 2: Convert to fraction form
    106,857.57/160,308.23 = 36,727.77/x
  3. Step 3: Cross multiply
    106,857.57x = 160,308.23 × 36,727.77
  4. Step 4: Simplify right side
    106,857.57x = 5,887,763,616.91
  5. Step 5: Solve for x
    x = 5,887,763,616.91/106,857.57
  6. Step 6: Final answer
    x = 55,099.17

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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.