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Finding the Fourth Proportional to 192,625.48, 288,546.54 and 157,213

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Solution

The fourth proportional to 192,625.48, 288,546.54 and 157,213 is: 235,499.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,625.48 : 288,546.54 = 157,213 : x
  2. Step 2: Convert to fraction form
    192,625.48/288,546.54 = 157,213/x
  3. Step 3: Cross multiply
    192,625.48x = 288,546.54 × 157,213
  4. Step 4: Simplify right side
    192,625.48x = 45,363,267,193.02
  5. Step 5: Solve for x
    x = 45,363,267,193.02/192,625.48
  6. Step 6: Final answer
    x = 235,499.83

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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.