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Finding the Fourth Proportional to 137,408.49, 205,762.82 and 90,519.21

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Solution

The fourth proportional to 137,408.49, 205,762.82 and 90,519.21 is: 135,548.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,408.49 : 205,762.82 = 90,519.21 : x
  2. Step 2: Convert to fraction form
    137,408.49/205,762.82 = 90,519.21/x
  3. Step 3: Cross multiply
    137,408.49x = 205,762.82 × 90,519.21
  4. Step 4: Simplify right side
    137,408.49x = 18,625,487,461.18
  5. Step 5: Solve for x
    x = 18,625,487,461.18/137,408.49
  6. Step 6: Final answer
    x = 135,548.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.