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Finding the Fourth Proportional to 209,041.92, 313,263.99 and 167,049.72

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Solution

The fourth proportional to 209,041.92, 313,263.99 and 167,049.72 is: 250,335.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,041.92 : 313,263.99 = 167,049.72 : x
  2. Step 2: Convert to fraction form
    209,041.92/313,263.99 = 167,049.72/x
  3. Step 3: Cross multiply
    209,041.92x = 313,263.99 × 167,049.72
  4. Step 4: Simplify right side
    209,041.92x = 52,330,661,815.58
  5. Step 5: Solve for x
    x = 52,330,661,815.58/209,041.92
  6. Step 6: Final answer
    x = 250,335.73

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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.