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Finding the Fourth Proportional to 208,141.54, 287,165.18 and 135,511.26

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Solution

The fourth proportional to 208,141.54, 287,165.18 and 135,511.26 is: 186,959.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,141.54 : 287,165.18 = 135,511.26 : x
  2. Step 2: Convert to fraction form
    208,141.54/287,165.18 = 135,511.26/x
  3. Step 3: Cross multiply
    208,141.54x = 287,165.18 × 135,511.26
  4. Step 4: Simplify right side
    208,141.54x = 38,914,115,369.93
  5. Step 5: Solve for x
    x = 38,914,115,369.93/208,141.54
  6. Step 6: Final answer
    x = 186,959.87

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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.