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Finding the Fourth Proportional to 120,494.48, 166,302.95 and 69,498.06

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Solution

The fourth proportional to 120,494.48, 166,302.95 and 69,498.06 is: 95,919.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,494.48 : 166,302.95 = 69,498.06 : x
  2. Step 2: Convert to fraction form
    120,494.48/166,302.95 = 69,498.06/x
  3. Step 3: Cross multiply
    120,494.48x = 166,302.95 × 69,498.06
  4. Step 4: Simplify right side
    120,494.48x = 11,557,732,049.79
  5. Step 5: Solve for x
    x = 11,557,732,049.79/120,494.48
  6. Step 6: Final answer
    x = 95,919.19

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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.