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Finding the Fourth Proportional to 208,589.16, 312,698.16 and 75,439.81

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Solution

The fourth proportional to 208,589.16, 312,698.16 and 75,439.81 is: 113,092.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,589.16 : 312,698.16 = 75,439.81 : x
  2. Step 2: Convert to fraction form
    208,589.16/312,698.16 = 75,439.81/x
  3. Step 3: Cross multiply
    208,589.16x = 312,698.16 × 75,439.81
  4. Step 4: Simplify right side
    208,589.16x = 23,589,889,777.75
  5. Step 5: Solve for x
    x = 23,589,889,777.75/208,589.16
  6. Step 6: Final answer
    x = 113,092.60

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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.