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Finding the Fourth Proportional to 209,698.83, 289,382.38 and 114,207.12

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Solution

The fourth proportional to 209,698.83, 289,382.38 and 114,207.12 is: 157,604.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,698.83 : 289,382.38 = 114,207.12 : x
  2. Step 2: Convert to fraction form
    209,698.83/289,382.38 = 114,207.12/x
  3. Step 3: Cross multiply
    209,698.83x = 289,382.38 × 114,207.12
  4. Step 4: Simplify right side
    209,698.83x = 33,049,528,198.55
  5. Step 5: Solve for x
    x = 33,049,528,198.55/209,698.83
  6. Step 6: Final answer
    x = 157,604.73

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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.