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Finding the Fourth Proportional to 197,358.30, 296,037.45 and 164,553.30

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Solution

The fourth proportional to 197,358.30, 296,037.45 and 164,553.30 is: 246,829.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,358.30 : 296,037.45 = 164,553.30 : x
  2. Step 2: Convert to fraction form
    197,358.30/296,037.45 = 164,553.30/x
  3. Step 3: Cross multiply
    197,358.30x = 296,037.45 × 164,553.30
  4. Step 4: Simplify right side
    197,358.30x = 48,713,939,321.09
  5. Step 5: Solve for x
    x = 48,713,939,321.09/197,358.30
  6. Step 6: Final answer
    x = 246,829.95

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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.