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Finding the Fourth Proportional to 119,708.53, 165,205.22 and 65,993.48

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Solution

The fourth proportional to 119,708.53, 165,205.22 and 65,993.48 is: 91,075.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,708.53 : 165,205.22 = 65,993.48 : x
  2. Step 2: Convert to fraction form
    119,708.53/165,205.22 = 65,993.48/x
  3. Step 3: Cross multiply
    119,708.53x = 165,205.22 × 65,993.48
  4. Step 4: Simplify right side
    119,708.53x = 10,902,468,145.98
  5. Step 5: Solve for x
    x = 10,902,468,145.98/119,708.53
  6. Step 6: Final answer
    x = 91,075.11

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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.