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Finding the Fourth Proportional to 274,166.31, 411,073.27 and 114,352.50

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Solution

The fourth proportional to 274,166.31, 411,073.27 and 114,352.50 is: 171,455.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,166.31 : 411,073.27 = 114,352.50 : x
  2. Step 2: Convert to fraction form
    274,166.31/411,073.27 = 114,352.50/x
  3. Step 3: Cross multiply
    274,166.31x = 411,073.27 × 114,352.50
  4. Step 4: Simplify right side
    274,166.31x = 47,007,256,107.68
  5. Step 5: Solve for x
    x = 47,007,256,107.68/274,166.31
  6. Step 6: Final answer
    x = 171,455.26

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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.