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Finding the Fourth Proportional to 208,484.82, 312,724.26 and 50,713.56

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Solution

The fourth proportional to 208,484.82, 312,724.26 and 50,713.56 is: 76,069.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,484.82 : 312,724.26 = 50,713.56 : x
  2. Step 2: Convert to fraction form
    208,484.82/312,724.26 = 50,713.56/x
  3. Step 3: Cross multiply
    208,484.82x = 312,724.26 × 50,713.56
  4. Step 4: Simplify right side
    208,484.82x = 15,859,360,522.97
  5. Step 5: Solve for x
    x = 15,859,360,522.97/208,484.82
  6. Step 6: Final answer
    x = 76,069.62

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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.