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Finding the Fourth Proportional to 197,758.48, 296,635.24 and 48,000

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Solution

The fourth proportional to 197,758.48, 296,635.24 and 48,000 is: 71,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,758.48 : 296,635.24 = 48,000 : x
  2. Step 2: Convert to fraction form
    197,758.48/296,635.24 = 48,000/x
  3. Step 3: Cross multiply
    197,758.48x = 296,635.24 × 48,000
  4. Step 4: Simplify right side
    197,758.48x = 14,238,491,520
  5. Step 5: Solve for x
    x = 14,238,491,520/197,758.48
  6. Step 6: Final answer
    x = 71,999.40

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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.