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Finding the Fourth Proportional to 197,455, 296,073.04 and 92,216.56

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Solution

The fourth proportional to 197,455, 296,073.04 and 92,216.56 is: 138,273.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,455 : 296,073.04 = 92,216.56 : x
  2. Step 2: Convert to fraction form
    197,455/296,073.04 = 92,216.56/x
  3. Step 3: Cross multiply
    197,455x = 296,073.04 × 92,216.56
  4. Step 4: Simplify right side
    197,455x = 27,302,837,257.54
  5. Step 5: Solve for x
    x = 27,302,837,257.54/197,455
  6. Step 6: Final answer
    x = 138,273.72

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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.