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Finding the Fourth Proportional to 200,806.08, 301,194.88 and 94,213.44

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Solution

The fourth proportional to 200,806.08, 301,194.88 and 94,213.44 is: 141,313.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,806.08 : 301,194.88 = 94,213.44 : x
  2. Step 2: Convert to fraction form
    200,806.08/301,194.88 = 94,213.44/x
  3. Step 3: Cross multiply
    200,806.08x = 301,194.88 × 94,213.44
  4. Step 4: Simplify right side
    200,806.08x = 28,376,605,755.19
  5. Step 5: Solve for x
    x = 28,376,605,755.19/200,806.08
  6. Step 6: Final answer
    x = 141,313.48

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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.