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Finding the Fourth Proportional to 193,884.84, 290,835.08 and 67,537.86

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Solution

The fourth proportional to 193,884.84, 290,835.08 and 67,537.86 is: 101,309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,884.84 : 290,835.08 = 67,537.86 : x
  2. Step 2: Convert to fraction form
    193,884.84/290,835.08 = 67,537.86/x
  3. Step 3: Cross multiply
    193,884.84x = 290,835.08 × 67,537.86
  4. Step 4: Simplify right side
    193,884.84x = 19,642,379,377.02
  5. Step 5: Solve for x
    x = 19,642,379,377.02/193,884.84
  6. Step 6: Final answer
    x = 101,309.52

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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.