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Finding the Fourth Proportional to 115,965.68, 160,028.16 and 65,664.80

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Solution

The fourth proportional to 115,965.68, 160,028.16 and 65,664.80 is: 90,614.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,965.68 : 160,028.16 = 65,664.80 : x
  2. Step 2: Convert to fraction form
    115,965.68/160,028.16 = 65,664.80/x
  3. Step 3: Cross multiply
    115,965.68x = 160,028.16 × 65,664.80
  4. Step 4: Simplify right side
    115,965.68x = 10,508,217,120.77
  5. Step 5: Solve for x
    x = 10,508,217,120.77/115,965.68
  6. Step 6: Final answer
    x = 90,614.89

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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.