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Finding the Fourth Proportional to 108,205.71, 162,302.49 and 29,314.14

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Solution

The fourth proportional to 108,205.71, 162,302.49 and 29,314.14 is: 43,969.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,205.71 : 162,302.49 = 29,314.14 : x
  2. Step 2: Convert to fraction form
    108,205.71/162,302.49 = 29,314.14/x
  3. Step 3: Cross multiply
    108,205.71x = 162,302.49 × 29,314.14
  4. Step 4: Simplify right side
    108,205.71x = 4,757,757,914.21
  5. Step 5: Solve for x
    x = 4,757,757,914.21/108,205.71
  6. Step 6: Final answer
    x = 43,969.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.