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Finding the Fourth Proportional to 141,665.05, 195,490.34 and 77,990.54

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Solution

The fourth proportional to 141,665.05, 195,490.34 and 77,990.54 is: 107,622.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,665.05 : 195,490.34 = 77,990.54 : x
  2. Step 2: Convert to fraction form
    141,665.05/195,490.34 = 77,990.54/x
  3. Step 3: Cross multiply
    141,665.05x = 195,490.34 × 77,990.54
  4. Step 4: Simplify right side
    141,665.05x = 15,246,397,181.38
  5. Step 5: Solve for x
    x = 15,246,397,181.38/141,665.05
  6. Step 6: Final answer
    x = 107,622.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.