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Finding the Fourth Proportional to 194,714.60, 292,092.40 and 80,849.48

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Solution

The fourth proportional to 194,714.60, 292,092.40 and 80,849.48 is: 121,282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,714.60 : 292,092.40 = 80,849.48 : x
  2. Step 2: Convert to fraction form
    194,714.60/292,092.40 = 80,849.48/x
  3. Step 3: Cross multiply
    194,714.60x = 292,092.40 × 80,849.48
  4. Step 4: Simplify right side
    194,714.60x = 23,615,518,651.95
  5. Step 5: Solve for x
    x = 23,615,518,651.95/194,714.60
  6. Step 6: Final answer
    x = 121,282.73

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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.