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Finding the Fourth Proportional to 137,494.62, 206,294.31 and 70,892.28

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Solution

The fourth proportional to 137,494.62, 206,294.31 and 70,892.28 is: 106,365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,494.62 : 206,294.31 = 70,892.28 : x
  2. Step 2: Convert to fraction form
    137,494.62/206,294.31 = 70,892.28/x
  3. Step 3: Cross multiply
    137,494.62x = 206,294.31 × 70,892.28
  4. Step 4: Simplify right side
    137,494.62x = 14,624,673,986.93
  5. Step 5: Solve for x
    x = 14,624,673,986.93/137,494.62
  6. Step 6: Final answer
    x = 106,365.43

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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.