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Finding the Fourth Proportional to 208,310.49, 313,352.69 and 188,824.35

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Solution

The fourth proportional to 208,310.49, 313,352.69 and 188,824.35 is: 284,040.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,310.49 : 313,352.69 = 188,824.35 : x
  2. Step 2: Convert to fraction form
    208,310.49/313,352.69 = 188,824.35/x
  3. Step 3: Cross multiply
    208,310.49x = 313,352.69 × 188,824.35
  4. Step 4: Simplify right side
    208,310.49x = 59,168,617,065.88
  5. Step 5: Solve for x
    x = 59,168,617,065.88/208,310.49
  6. Step 6: Final answer
    x = 284,040.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.