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Finding the Fourth Proportional to 144,208.34, 199,006.34 and 79,677.38

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Solution

The fourth proportional to 144,208.34, 199,006.34 and 79,677.38 is: 109,954.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,208.34 : 199,006.34 = 79,677.38 : x
  2. Step 2: Convert to fraction form
    144,208.34/199,006.34 = 79,677.38/x
  3. Step 3: Cross multiply
    144,208.34x = 199,006.34 × 79,677.38
  4. Step 4: Simplify right side
    144,208.34x = 15,856,302,978.75
  5. Step 5: Solve for x
    x = 15,856,302,978.75/144,208.34
  6. Step 6: Final answer
    x = 109,954.13

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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.