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Finding the Fourth Proportional to 149,006.40, 205,628.78 and 81,938.40

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Solution

The fourth proportional to 149,006.40, 205,628.78 and 81,938.40 is: 113,074.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,006.40 : 205,628.78 = 81,938.40 : x
  2. Step 2: Convert to fraction form
    149,006.40/205,628.78 = 81,938.40/x
  3. Step 3: Cross multiply
    149,006.40x = 205,628.78 × 81,938.40
  4. Step 4: Simplify right side
    149,006.40x = 16,848,893,227.15
  5. Step 5: Solve for x
    x = 16,848,893,227.15/149,006.40
  6. Step 6: Final answer
    x = 113,074.96

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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.