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Finding the Fourth Proportional to 115,967.25, 160,034.81 and 65,675.97

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Solution

The fourth proportional to 115,967.25, 160,034.81 and 65,675.97 is: 90,632.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,967.25 : 160,034.81 = 65,675.97 : x
  2. Step 2: Convert to fraction form
    115,967.25/160,034.81 = 65,675.97/x
  3. Step 3: Cross multiply
    115,967.25x = 160,034.81 × 65,675.97
  4. Step 4: Simplify right side
    115,967.25x = 10,510,441,052.14
  5. Step 5: Solve for x
    x = 10,510,441,052.14/115,967.25
  6. Step 6: Final answer
    x = 90,632.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.