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Finding the Fourth Proportional to 197,471.93, 296,238.60 and 64,321.20

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Solution

The fourth proportional to 197,471.93, 296,238.60 and 64,321.20 is: 96,491.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,471.93 : 296,238.60 = 64,321.20 : x
  2. Step 2: Convert to fraction form
    197,471.93/296,238.60 = 64,321.20/x
  3. Step 3: Cross multiply
    197,471.93x = 296,238.60 × 64,321.20
  4. Step 4: Simplify right side
    197,471.93x = 19,054,422,238.32
  5. Step 5: Solve for x
    x = 19,054,422,238.32/197,471.93
  6. Step 6: Final answer
    x = 96,491.80

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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.