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Finding the Fourth Proportional to 197,909.80, 296,427.30 and 162,917.80

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Solution

The fourth proportional to 197,909.80, 296,427.30 and 162,917.80 is: 244,016.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,909.80 : 296,427.30 = 162,917.80 : x
  2. Step 2: Convert to fraction form
    197,909.80/296,427.30 = 162,917.80/x
  3. Step 3: Cross multiply
    197,909.80x = 296,427.30 × 162,917.80
  4. Step 4: Simplify right side
    197,909.80x = 48,293,283,575.94
  5. Step 5: Solve for x
    x = 48,293,283,575.94/197,909.80
  6. Step 6: Final answer
    x = 244,016.64

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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.