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Finding the Fourth Proportional to 534,797.76, 802,198 and 135,438.58

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Solution

The fourth proportional to 534,797.76, 802,198 and 135,438.58 is: 203,158.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,797.76 : 802,198 = 135,438.58 : x
  2. Step 2: Convert to fraction form
    534,797.76/802,198 = 135,438.58/x
  3. Step 3: Cross multiply
    534,797.76x = 802,198 × 135,438.58
  4. Step 4: Simplify right side
    534,797.76x = 108,648,557,998.84
  5. Step 5: Solve for x
    x = 108,648,557,998.84/534,797.76
  6. Step 6: Final answer
    x = 203,158.21

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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.