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Finding the Fourth Proportional to 197,358.44, 296,134.86 and 92,162.12

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Solution

The fourth proportional to 197,358.44, 296,134.86 and 92,162.12 is: 138,288.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,358.44 : 296,134.86 = 92,162.12 : x
  2. Step 2: Convert to fraction form
    197,358.44/296,134.86 = 92,162.12/x
  3. Step 3: Cross multiply
    197,358.44x = 296,134.86 × 92,162.12
  4. Step 4: Simplify right side
    197,358.44x = 27,292,416,503.50
  5. Step 5: Solve for x
    x = 27,292,416,503.50/197,358.44
  6. Step 6: Final answer
    x = 138,288.57

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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.