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Finding the Fourth Proportional to 207,096.77, 285,787.87 and 116,450.41

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Solution

The fourth proportional to 207,096.77, 285,787.87 and 116,450.41 is: 160,698.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,096.77 : 285,787.87 = 116,450.41 : x
  2. Step 2: Convert to fraction form
    207,096.77/285,787.87 = 116,450.41/x
  3. Step 3: Cross multiply
    207,096.77x = 285,787.87 × 116,450.41
  4. Step 4: Simplify right side
    207,096.77x = 33,280,114,634.53
  5. Step 5: Solve for x
    x = 33,280,114,634.53/207,096.77
  6. Step 6: Final answer
    x = 160,698.38

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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.