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Finding the Fourth Proportional to 209,119.38, 288,586.50 and 113,626.07

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Solution

The fourth proportional to 209,119.38, 288,586.50 and 113,626.07 is: 156,804.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,119.38 : 288,586.50 = 113,626.07 : x
  2. Step 2: Convert to fraction form
    209,119.38/288,586.50 = 113,626.07/x
  3. Step 3: Cross multiply
    209,119.38x = 288,586.50 × 113,626.07
  4. Step 4: Simplify right side
    209,119.38x = 32,790,950,571.52
  5. Step 5: Solve for x
    x = 32,790,950,571.52/209,119.38
  6. Step 6: Final answer
    x = 156,804.93

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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.