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Finding the Fourth Proportional to 149,006.16, 205,624.44 and 81,938.16

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Solution

The fourth proportional to 149,006.16, 205,624.44 and 81,938.16 is: 113,072.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,006.16 : 205,624.44 = 81,938.16 : x
  2. Step 2: Convert to fraction form
    149,006.16/205,624.44 = 81,938.16/x
  3. Step 3: Cross multiply
    149,006.16x = 205,624.44 × 81,938.16
  4. Step 4: Simplify right side
    149,006.16x = 16,848,488,264.63
  5. Step 5: Solve for x
    x = 16,848,488,264.63/149,006.16
  6. Step 6: Final answer
    x = 113,072.43

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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.