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Finding the Fourth Proportional to 193,924.80, 290,714.40 and 114,955.20

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Solution

The fourth proportional to 193,924.80, 290,714.40 and 114,955.20 is: 172,330.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,924.80 : 290,714.40 = 114,955.20 : x
  2. Step 2: Convert to fraction form
    193,924.80/290,714.40 = 114,955.20/x
  3. Step 3: Cross multiply
    193,924.80x = 290,714.40 × 114,955.20
  4. Step 4: Simplify right side
    193,924.80x = 33,419,131,994.88
  5. Step 5: Solve for x
    x = 33,419,131,994.88/193,924.80
  6. Step 6: Final answer
    x = 172,330.37

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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.