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Finding the Fourth Proportional to 313,036.44, 469,613.10 and 102,734.52

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Solution

The fourth proportional to 313,036.44, 469,613.10 and 102,734.52 is: 154,120.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,036.44 : 469,613.10 = 102,734.52 : x
  2. Step 2: Convert to fraction form
    313,036.44/469,613.10 = 102,734.52/x
  3. Step 3: Cross multiply
    313,036.44x = 469,613.10 × 102,734.52
  4. Step 4: Simplify right side
    313,036.44x = 48,245,476,414.21
  5. Step 5: Solve for x
    x = 48,245,476,414.21/313,036.44
  6. Step 6: Final answer
    x = 154,120.96

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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.