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Finding the Fourth Proportional to 195,364.80, 293,047.20 and 55,105.20

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Solution

The fourth proportional to 195,364.80, 293,047.20 and 55,105.20 is: 82,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,364.80 : 293,047.20 = 55,105.20 : x
  2. Step 2: Convert to fraction form
    195,364.80/293,047.20 = 55,105.20/x
  3. Step 3: Cross multiply
    195,364.80x = 293,047.20 × 55,105.20
  4. Step 4: Simplify right side
    195,364.80x = 16,148,424,565.44
  5. Step 5: Solve for x
    x = 16,148,424,565.44/195,364.80
  6. Step 6: Final answer
    x = 82,657.80

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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.