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Finding the Fourth Proportional to 195,995.48, 293,951.46 and 114,893.96

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Solution

The fourth proportional to 195,995.48, 293,951.46 and 114,893.96 is: 172,316.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,995.48 : 293,951.46 = 114,893.96 : x
  2. Step 2: Convert to fraction form
    195,995.48/293,951.46 = 114,893.96/x
  3. Step 3: Cross multiply
    195,995.48x = 293,951.46 × 114,893.96
  4. Step 4: Simplify right side
    195,995.48x = 33,773,247,287.18
  5. Step 5: Solve for x
    x = 33,773,247,287.18/195,995.48
  6. Step 6: Final answer
    x = 172,316.46

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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.