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Finding the Fourth Proportional to 199,104.84, 298,653.48 and 49,345.44

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Solution

The fourth proportional to 199,104.84, 298,653.48 and 49,345.44 is: 74,017.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,104.84 : 298,653.48 = 49,345.44 : x
  2. Step 2: Convert to fraction form
    199,104.84/298,653.48 = 49,345.44/x
  3. Step 3: Cross multiply
    199,104.84x = 298,653.48 × 49,345.44
  4. Step 4: Simplify right side
    199,104.84x = 14,737,187,378.13
  5. Step 5: Solve for x
    x = 14,737,187,378.13/199,104.84
  6. Step 6: Final answer
    x = 74,017.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.