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Finding the Fourth Proportional to 149,418.41, 206,204.71 and 84,027.83

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Solution

The fourth proportional to 149,418.41, 206,204.71 and 84,027.83 is: 115,962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,418.41 : 206,204.71 = 84,027.83 : x
  2. Step 2: Convert to fraction form
    149,418.41/206,204.71 = 84,027.83/x
  3. Step 3: Cross multiply
    149,418.41x = 206,204.71 × 84,027.83
  4. Step 4: Simplify right side
    149,418.41x = 17,326,933,075.99
  5. Step 5: Solve for x
    x = 17,326,933,075.99/149,418.41
  6. Step 6: Final answer
    x = 115,962.50

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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.