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Finding the Fourth Proportional to 192,241.76, 288,498.72 and 67,592.48

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Solution

The fourth proportional to 192,241.76, 288,498.72 and 67,592.48 is: 101,436.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,241.76 : 288,498.72 = 67,592.48 : x
  2. Step 2: Convert to fraction form
    192,241.76/288,498.72 = 67,592.48/x
  3. Step 3: Cross multiply
    192,241.76x = 288,498.72 × 67,592.48
  4. Step 4: Simplify right side
    192,241.76x = 19,500,343,961.63
  5. Step 5: Solve for x
    x = 19,500,343,961.63/192,241.76
  6. Step 6: Final answer
    x = 101,436.57

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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.