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Finding the Fourth Proportional to 148,935.82, 205,531.44 and 81,867.82

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Solution

The fourth proportional to 148,935.82, 205,531.44 and 81,867.82 is: 112,977.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,935.82 : 205,531.44 = 81,867.82 : x
  2. Step 2: Convert to fraction form
    148,935.82/205,531.44 = 81,867.82/x
  3. Step 3: Cross multiply
    148,935.82x = 205,531.44 × 81,867.82
  4. Step 4: Simplify right side
    148,935.82x = 16,826,410,934.26
  5. Step 5: Solve for x
    x = 16,826,410,934.26/148,935.82
  6. Step 6: Final answer
    x = 112,977.60

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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.