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Finding the Fourth Proportional to 195,722.72, 293,654.04 and 120,755.60

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Solution

The fourth proportional to 195,722.72, 293,654.04 and 120,755.60 is: 181,176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,722.72 : 293,654.04 = 120,755.60 : x
  2. Step 2: Convert to fraction form
    195,722.72/293,654.04 = 120,755.60/x
  3. Step 3: Cross multiply
    195,722.72x = 293,654.04 × 120,755.60
  4. Step 4: Simplify right side
    195,722.72x = 35,460,369,792.62
  5. Step 5: Solve for x
    x = 35,460,369,792.62/195,722.72
  6. Step 6: Final answer
    x = 181,176.56

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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.