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Finding the Fourth Proportional to 197,354, 296,074.72 and 92,115.52

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Solution

The fourth proportional to 197,354, 296,074.72 and 92,115.52 is: 138,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,354 : 296,074.72 = 92,115.52 : x
  2. Step 2: Convert to fraction form
    197,354/296,074.72 = 92,115.52/x
  3. Step 3: Cross multiply
    197,354x = 296,074.72 × 92,115.52
  4. Step 4: Simplify right side
    197,354x = 27,273,076,791.65
  5. Step 5: Solve for x
    x = 27,273,076,791.65/197,354
  6. Step 6: Final answer
    x = 138,193.69

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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.