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Finding the Fourth Proportional to 144,208.96, 199,012.38 and 79,682.36

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Solution

The fourth proportional to 144,208.96, 199,012.38 and 79,682.36 is: 109,963.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,208.96 : 199,012.38 = 79,682.36 : x
  2. Step 2: Convert to fraction form
    144,208.96/199,012.38 = 79,682.36/x
  3. Step 3: Cross multiply
    144,208.96x = 199,012.38 × 79,682.36
  4. Step 4: Simplify right side
    144,208.96x = 15,857,774,813.75
  5. Step 5: Solve for x
    x = 15,857,774,813.75/144,208.96
  6. Step 6: Final answer
    x = 109,963.87

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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.