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Finding the Fourth Proportional to 101,584.74, 151,759.32 and 65,754.14

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Solution

The fourth proportional to 101,584.74, 151,759.32 and 65,754.14 is: 98,231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,584.74 : 151,759.32 = 65,754.14 : x
  2. Step 2: Convert to fraction form
    101,584.74/151,759.32 = 65,754.14/x
  3. Step 3: Cross multiply
    101,584.74x = 151,759.32 × 65,754.14
  4. Step 4: Simplify right side
    101,584.74x = 9,978,803,952.98
  5. Step 5: Solve for x
    x = 9,978,803,952.98/101,584.74
  6. Step 6: Final answer
    x = 98,231.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.