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Finding the Fourth Proportional to 196,344, 294,518.88 and 48,600

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Solution

The fourth proportional to 196,344, 294,518.88 and 48,600 is: 72,900.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,344 : 294,518.88 = 48,600 : x
  2. Step 2: Convert to fraction form
    196,344/294,518.88 = 48,600/x
  3. Step 3: Cross multiply
    196,344x = 294,518.88 × 48,600
  4. Step 4: Simplify right side
    196,344x = 14,313,617,568
  5. Step 5: Solve for x
    x = 14,313,617,568/196,344
  6. Step 6: Final answer
    x = 72,900.71

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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.