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Finding the Fourth Proportional to 197,683.52, 296,536.78 and 55,539.88

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Solution

The fourth proportional to 197,683.52, 296,536.78 and 55,539.88 is: 83,313.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,683.52 : 296,536.78 = 55,539.88 : x
  2. Step 2: Convert to fraction form
    197,683.52/296,536.78 = 55,539.88/x
  3. Step 3: Cross multiply
    197,683.52x = 296,536.78 × 55,539.88
  4. Step 4: Simplify right side
    197,683.52x = 16,469,616,296.59
  5. Step 5: Solve for x
    x = 16,469,616,296.59/197,683.52
  6. Step 6: Final answer
    x = 83,313.05

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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.