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Finding the Fourth Proportional to 171,091.66, 256,633.16 and 46,429.42

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Solution

The fourth proportional to 171,091.66, 256,633.16 and 46,429.42 is: 69,642.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,091.66 : 256,633.16 = 46,429.42 : x
  2. Step 2: Convert to fraction form
    171,091.66/256,633.16 = 46,429.42/x
  3. Step 3: Cross multiply
    171,091.66x = 256,633.16 × 46,429.42
  4. Step 4: Simplify right side
    171,091.66x = 11,915,328,771.57
  5. Step 5: Solve for x
    x = 11,915,328,771.57/171,091.66
  6. Step 6: Final answer
    x = 69,642.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.