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Finding the Fourth Proportional to 195,523.70, 293,396.48 and 105,565.20

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Solution

The fourth proportional to 195,523.70, 293,396.48 and 105,565.20 is: 158,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,523.70 : 293,396.48 = 105,565.20 : x
  2. Step 2: Convert to fraction form
    195,523.70/293,396.48 = 105,565.20/x
  3. Step 3: Cross multiply
    195,523.70x = 293,396.48 × 105,565.20
  4. Step 4: Simplify right side
    195,523.70x = 30,972,458,508.66
  5. Step 5: Solve for x
    x = 30,972,458,508.66/195,523.70
  6. Step 6: Final answer
    x = 158,407.70

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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.