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Finding the Fourth Proportional to 208,958.04, 313,436.28 and 75,838.08

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Solution

The fourth proportional to 208,958.04, 313,436.28 and 75,838.08 is: 113,756.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,958.04 : 313,436.28 = 75,838.08 : x
  2. Step 2: Convert to fraction form
    208,958.04/313,436.28 = 75,838.08/x
  3. Step 3: Cross multiply
    208,958.04x = 313,436.28 × 75,838.08
  4. Step 4: Simplify right side
    208,958.04x = 23,770,405,677.54
  5. Step 5: Solve for x
    x = 23,770,405,677.54/208,958.04
  6. Step 6: Final answer
    x = 113,756.84

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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.