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Finding the Fourth Proportional to 313,158.96, 469,738.44 and 113,442.12

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Solution

The fourth proportional to 313,158.96, 469,738.44 and 113,442.12 is: 170,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,158.96 : 469,738.44 = 113,442.12 : x
  2. Step 2: Convert to fraction form
    313,158.96/469,738.44 = 113,442.12/x
  3. Step 3: Cross multiply
    313,158.96x = 469,738.44 × 113,442.12
  4. Step 4: Simplify right side
    313,158.96x = 53,288,124,479.09
  5. Step 5: Solve for x
    x = 53,288,124,479.09/313,158.96
  6. Step 6: Final answer
    x = 170,163.18

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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.