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Finding the Fourth Proportional to 197,497.44, 296,276.94 and 85,209.30

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Solution

The fourth proportional to 197,497.44, 296,276.94 and 85,209.30 is: 127,827.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,497.44 : 296,276.94 = 85,209.30 : x
  2. Step 2: Convert to fraction form
    197,497.44/296,276.94 = 85,209.30/x
  3. Step 3: Cross multiply
    197,497.44x = 296,276.94 × 85,209.30
  4. Step 4: Simplify right side
    197,497.44x = 25,245,550,663.54
  5. Step 5: Solve for x
    x = 25,245,550,663.54/197,497.44
  6. Step 6: Final answer
    x = 127,827.23

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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.