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Finding the Fourth Proportional to 115,322, 159,144.36 and 65,022.80

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Solution

The fourth proportional to 115,322, 159,144.36 and 65,022.80 is: 89,731.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,322 : 159,144.36 = 65,022.80 : x
  2. Step 2: Convert to fraction form
    115,322/159,144.36 = 65,022.80/x
  3. Step 3: Cross multiply
    115,322x = 159,144.36 × 65,022.80
  4. Step 4: Simplify right side
    115,322x = 10,348,011,891.41
  5. Step 5: Solve for x
    x = 10,348,011,891.41/115,322
  6. Step 6: Final answer
    x = 89,731.46

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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.