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Finding the Fourth Proportional to 117,757.88, 162,448.77 and 69,977.42

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Solution

The fourth proportional to 117,757.88, 162,448.77 and 69,977.42 is: 96,534.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,757.88 : 162,448.77 = 69,977.42 : x
  2. Step 2: Convert to fraction form
    117,757.88/162,448.77 = 69,977.42/x
  3. Step 3: Cross multiply
    117,757.88x = 162,448.77 × 69,977.42
  4. Step 4: Simplify right side
    117,757.88x = 11,367,745,806.77
  5. Step 5: Solve for x
    x = 11,367,745,806.77/117,757.88
  6. Step 6: Final answer
    x = 96,534.91

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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.