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Finding the Fourth Proportional to 230,098.61, 317,634.05 and 154,690.85

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Solution

The fourth proportional to 230,098.61, 317,634.05 and 154,690.85 is: 213,539.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,098.61 : 317,634.05 = 154,690.85 : x
  2. Step 2: Convert to fraction form
    230,098.61/317,634.05 = 154,690.85/x
  3. Step 3: Cross multiply
    230,098.61x = 317,634.05 × 154,690.85
  4. Step 4: Simplify right side
    230,098.61x = 49,135,081,183.44
  5. Step 5: Solve for x
    x = 49,135,081,183.44/230,098.61
  6. Step 6: Final answer
    x = 213,539.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.