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Finding the Fourth Proportional to 192,456.90, 288,138.60 and 181,983.60

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Solution

The fourth proportional to 192,456.90, 288,138.60 and 181,983.60 is: 272,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,456.90 : 288,138.60 = 181,983.60 : x
  2. Step 2: Convert to fraction form
    192,456.90/288,138.60 = 181,983.60/x
  3. Step 3: Cross multiply
    192,456.90x = 288,138.60 × 181,983.60
  4. Step 4: Simplify right side
    192,456.90x = 52,436,499,726.96
  5. Step 5: Solve for x
    x = 52,436,499,726.96/192,456.90
  6. Step 6: Final answer
    x = 272,458.40

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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.