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Finding the Fourth Proportional to 193,522.62, 290,302.32 and 75,203.12

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Solution

The fourth proportional to 193,522.62, 290,302.32 and 75,203.12 is: 112,811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,522.62 : 290,302.32 = 75,203.12 : x
  2. Step 2: Convert to fraction form
    193,522.62/290,302.32 = 75,203.12/x
  3. Step 3: Cross multiply
    193,522.62x = 290,302.32 × 75,203.12
  4. Step 4: Simplify right side
    193,522.62x = 21,831,640,207.24
  5. Step 5: Solve for x
    x = 21,831,640,207.24/193,522.62
  6. Step 6: Final answer
    x = 112,811.83

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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.