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Finding the Fourth Proportional to 195,994.48, 293,949.96 and 114,892.96

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Solution

The fourth proportional to 195,994.48, 293,949.96 and 114,892.96 is: 172,314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,994.48 : 293,949.96 = 114,892.96 : x
  2. Step 2: Convert to fraction form
    195,994.48/293,949.96 = 114,892.96/x
  3. Step 3: Cross multiply
    195,994.48x = 293,949.96 × 114,892.96
  4. Step 4: Simplify right side
    195,994.48x = 33,772,780,996.28
  5. Step 5: Solve for x
    x = 33,772,780,996.28/195,994.48
  6. Step 6: Final answer
    x = 172,314.96

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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.