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Finding the Fourth Proportional to 144,492.63, 199,394.92 and 79,964.60

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Solution

The fourth proportional to 144,492.63, 199,394.92 and 79,964.60 is: 110,348.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,492.63 : 199,394.92 = 79,964.60 : x
  2. Step 2: Convert to fraction form
    144,492.63/199,394.92 = 79,964.60/x
  3. Step 3: Cross multiply
    144,492.63x = 199,394.92 × 79,964.60
  4. Step 4: Simplify right side
    144,492.63x = 15,944,535,469.31
  5. Step 5: Solve for x
    x = 15,944,535,469.31/144,492.63
  6. Step 6: Final answer
    x = 110,348.43

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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.