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Finding the Fourth Proportional to 137,361.98, 206,113.25 and 65,396.25

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Solution

The fourth proportional to 137,361.98, 206,113.25 and 65,396.25 is: 98,127.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,361.98 : 206,113.25 = 65,396.25 : x
  2. Step 2: Convert to fraction form
    137,361.98/206,113.25 = 65,396.25/x
  3. Step 3: Cross multiply
    137,361.98x = 206,113.25 × 65,396.25
  4. Step 4: Simplify right side
    137,361.98x = 13,479,033,365.22
  5. Step 5: Solve for x
    x = 13,479,033,365.22/137,361.98
  6. Step 6: Final answer
    x = 98,127.83

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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.