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Finding the Fourth Proportional to 213,157.87, 294,158.38 and 116,361.79

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Solution

The fourth proportional to 213,157.87, 294,158.38 and 116,361.79 is: 160,579.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,157.87 : 294,158.38 = 116,361.79 : x
  2. Step 2: Convert to fraction form
    213,157.87/294,158.38 = 116,361.79/x
  3. Step 3: Cross multiply
    213,157.87x = 294,158.38 × 116,361.79
  4. Step 4: Simplify right side
    213,157.87x = 34,228,795,087.94
  5. Step 5: Solve for x
    x = 34,228,795,087.94/213,157.87
  6. Step 6: Final answer
    x = 160,579.55

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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.