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Finding the Fourth Proportional to 149,197.95, 205,896.42 and 84,671.37

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Solution

The fourth proportional to 149,197.95, 205,896.42 and 84,671.37 is: 116,848.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,197.95 : 205,896.42 = 84,671.37 : x
  2. Step 2: Convert to fraction form
    149,197.95/205,896.42 = 84,671.37/x
  3. Step 3: Cross multiply
    149,197.95x = 205,896.42 × 84,671.37
  4. Step 4: Simplify right side
    149,197.95x = 17,433,531,959.50
  5. Step 5: Solve for x
    x = 17,433,531,959.50/149,197.95
  6. Step 6: Final answer
    x = 116,848.33

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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.