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Finding the Fourth Proportional to 193,403.84, 290,010.41 and 79,530.86

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Solution

The fourth proportional to 193,403.84, 290,010.41 and 79,530.86 is: 119,257.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,403.84 : 290,010.41 = 79,530.86 : x
  2. Step 2: Convert to fraction form
    193,403.84/290,010.41 = 79,530.86/x
  3. Step 3: Cross multiply
    193,403.84x = 290,010.41 × 79,530.86
  4. Step 4: Simplify right side
    193,403.84x = 23,064,777,941.87
  5. Step 5: Solve for x
    x = 23,064,777,941.87/193,403.84
  6. Step 6: Final answer
    x = 119,257.09

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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.