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Finding the Fourth Proportional to 120,180.94, 165,862.16 and 69,195.49

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Solution

The fourth proportional to 120,180.94, 165,862.16 and 69,195.49 is: 95,496.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,180.94 : 165,862.16 = 69,195.49 : x
  2. Step 2: Convert to fraction form
    120,180.94/165,862.16 = 69,195.49/x
  3. Step 3: Cross multiply
    120,180.94x = 165,862.16 × 69,195.49
  4. Step 4: Simplify right side
    120,180.94x = 11,476,913,433.66
  5. Step 5: Solve for x
    x = 11,476,913,433.66/120,180.94
  6. Step 6: Final answer
    x = 95,496.95

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1.5x scale

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.