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Finding the Fourth Proportional to 149,408.64, 206,180.37 and 81,427.77

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Solution

The fourth proportional to 149,408.64, 206,180.37 and 81,427.77 is: 112,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,408.64 : 206,180.37 = 81,427.77 : x
  2. Step 2: Convert to fraction form
    149,408.64/206,180.37 = 81,427.77/x
  3. Step 3: Cross multiply
    149,408.64x = 206,180.37 × 81,427.77
  4. Step 4: Simplify right side
    149,408.64x = 16,788,807,746.87
  5. Step 5: Solve for x
    x = 16,788,807,746.87/149,408.64
  6. Step 6: Final answer
    x = 112,368.39

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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.