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Finding the Fourth Proportional to 137,977.29, 190,408.37 and 77,550.39

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Solution

The fourth proportional to 137,977.29, 190,408.37 and 77,550.39 is: 107,019.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,977.29 : 190,408.37 = 77,550.39 : x
  2. Step 2: Convert to fraction form
    137,977.29/190,408.37 = 77,550.39/x
  3. Step 3: Cross multiply
    137,977.29x = 190,408.37 × 77,550.39
  4. Step 4: Simplify right side
    137,977.29x = 14,766,242,965.01
  5. Step 5: Solve for x
    x = 14,766,242,965.01/137,977.29
  6. Step 6: Final answer
    x = 107,019.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.