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Finding the Fourth Proportional to 199,794.64, 275,722.01 and 119,268.90

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Solution

The fourth proportional to 199,794.64, 275,722.01 and 119,268.90 is: 164,594.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,794.64 : 275,722.01 = 119,268.90 : x
  2. Step 2: Convert to fraction form
    199,794.64/275,722.01 = 119,268.90/x
  3. Step 3: Cross multiply
    199,794.64x = 275,722.01 × 119,268.90
  4. Step 4: Simplify right side
    199,794.64x = 32,885,061,136.66
  5. Step 5: Solve for x
    x = 32,885,061,136.66/199,794.64
  6. Step 6: Final answer
    x = 164,594.31

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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.