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Finding the Fourth Proportional to 197,766.72, 296,632.80 and 73,108.80

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Solution

The fourth proportional to 197,766.72, 296,632.80 and 73,108.80 is: 109,656.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,766.72 : 296,632.80 = 73,108.80 : x
  2. Step 2: Convert to fraction form
    197,766.72/296,632.80 = 73,108.80/x
  3. Step 3: Cross multiply
    197,766.72x = 296,632.80 × 73,108.80
  4. Step 4: Simplify right side
    197,766.72x = 21,686,468,048.64
  5. Step 5: Solve for x
    x = 21,686,468,048.64/197,766.72
  6. Step 6: Final answer
    x = 109,656.81

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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.