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Finding the Fourth Proportional to 144,894.34, 199,723.23 and 114,217.44

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Solution

The fourth proportional to 144,894.34, 199,723.23 and 114,217.44 is: 157,438.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,894.34 : 199,723.23 = 114,217.44 : x
  2. Step 2: Convert to fraction form
    144,894.34/199,723.23 = 114,217.44/x
  3. Step 3: Cross multiply
    144,894.34x = 199,723.23 × 114,217.44
  4. Step 4: Simplify right side
    144,894.34x = 22,811,876,734.85
  5. Step 5: Solve for x
    x = 22,811,876,734.85/144,894.34
  6. Step 6: Final answer
    x = 157,438.02

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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.