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Finding the Fourth Proportional to 197,906.30, 296,422.05 and 162,914.30

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Solution

The fourth proportional to 197,906.30, 296,422.05 and 162,914.30 is: 244,011.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,906.30 : 296,422.05 = 162,914.30 : x
  2. Step 2: Convert to fraction form
    197,906.30/296,422.05 = 162,914.30/x
  3. Step 3: Cross multiply
    197,906.30x = 296,422.05 × 162,914.30
  4. Step 4: Simplify right side
    197,906.30x = 48,291,390,780.32
  5. Step 5: Solve for x
    x = 48,291,390,780.32/197,906.30
  6. Step 6: Final answer
    x = 244,011.39

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1.5x scale

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.