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Finding the Fourth Proportional to 342,902.27, 473,212.75 and 195,724.15

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Solution

The fourth proportional to 342,902.27, 473,212.75 and 195,724.15 is: 270,103.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,902.27 : 473,212.75 = 195,724.15 : x
  2. Step 2: Convert to fraction form
    342,902.27/473,212.75 = 195,724.15/x
  3. Step 3: Cross multiply
    342,902.27x = 473,212.75 × 195,724.15
  4. Step 4: Simplify right side
    342,902.27x = 92,619,164,619.37
  5. Step 5: Solve for x
    x = 92,619,164,619.37/342,902.27
  6. Step 6: Final answer
    x = 270,103.68

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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.