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Finding the Fourth Proportional to 208,956, 313,433.32 and 75,836.08

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Solution

The fourth proportional to 208,956, 313,433.32 and 75,836.08 is: 113,753.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,956 : 313,433.32 = 75,836.08 : x
  2. Step 2: Convert to fraction form
    208,956/313,433.32 = 75,836.08/x
  3. Step 3: Cross multiply
    208,956x = 313,433.32 × 75,836.08
  4. Step 4: Simplify right side
    208,956x = 23,769,554,330.19
  5. Step 5: Solve for x
    x = 23,769,554,330.19/208,956
  6. Step 6: Final answer
    x = 113,753.87

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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.