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Finding the Fourth Proportional to 208,866.48, 313,019.08 and 113,954.44

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Solution

The fourth proportional to 208,866.48, 313,019.08 and 113,954.44 is: 170,778.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,866.48 : 313,019.08 = 113,954.44 : x
  2. Step 2: Convert to fraction form
    208,866.48/313,019.08 = 113,954.44/x
  3. Step 3: Cross multiply
    208,866.48x = 313,019.08 × 113,954.44
  4. Step 4: Simplify right side
    208,866.48x = 35,669,913,911.10
  5. Step 5: Solve for x
    x = 35,669,913,911.10/208,866.48
  6. Step 6: Final answer
    x = 170,778.55

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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.