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Finding the Fourth Proportional to 123,106.33, 169,884.34 and 69,390.33

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Solution

The fourth proportional to 123,106.33, 169,884.34 and 69,390.33 is: 95,757.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,106.33 : 169,884.34 = 69,390.33 : x
  2. Step 2: Convert to fraction form
    123,106.33/169,884.34 = 69,390.33/x
  3. Step 3: Cross multiply
    123,106.33x = 169,884.34 × 69,390.33
  4. Step 4: Simplify right side
    123,106.33x = 11,788,330,414.43
  5. Step 5: Solve for x
    x = 11,788,330,414.43/123,106.33
  6. Step 6: Final answer
    x = 95,757.31

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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.