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Finding the Fourth Proportional to 197,709.60, 296,485.20 and 73,022.88

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Solution

The fourth proportional to 197,709.60, 296,485.20 and 73,022.88 is: 109,505.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,709.60 : 296,485.20 = 73,022.88 : x
  2. Step 2: Convert to fraction form
    197,709.60/296,485.20 = 73,022.88/x
  3. Step 3: Cross multiply
    197,709.60x = 296,485.20 × 73,022.88
  4. Step 4: Simplify right side
    197,709.60x = 21,650,203,181.38
  5. Step 5: Solve for x
    x = 21,650,203,181.38/197,709.60
  6. Step 6: Final answer
    x = 109,505.07

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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.