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Finding the Fourth Proportional to 197,911.30, 296,429.55 and 162,919.30

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Solution

The fourth proportional to 197,911.30, 296,429.55 and 162,919.30 is: 244,018.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,911.30 : 296,429.55 = 162,919.30 : x
  2. Step 2: Convert to fraction form
    197,911.30/296,429.55 = 162,919.30/x
  3. Step 3: Cross multiply
    197,911.30x = 296,429.55 × 162,919.30
  4. Step 4: Simplify right side
    197,911.30x = 48,294,094,785.32
  5. Step 5: Solve for x
    x = 48,294,094,785.32/197,911.30
  6. Step 6: Final answer
    x = 244,018.89

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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.