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Finding the Fourth Proportional to 188,096.34, 259,571.88 and 103,216.44

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Solution

The fourth proportional to 188,096.34, 259,571.88 and 103,216.44 is: 142,438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,096.34 : 259,571.88 = 103,216.44 : x
  2. Step 2: Convert to fraction form
    188,096.34/259,571.88 = 103,216.44/x
  3. Step 3: Cross multiply
    188,096.34x = 259,571.88 × 103,216.44
  4. Step 4: Simplify right side
    188,096.34x = 26,792,085,377.71
  5. Step 5: Solve for x
    x = 26,792,085,377.71/188,096.34
  6. Step 6: Final answer
    x = 142,438.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.