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Finding the Fourth Proportional to 208,677.44, 287,969.64 and 116,795.36

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Solution

The fourth proportional to 208,677.44, 287,969.64 and 116,795.36 is: 161,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,677.44 : 287,969.64 = 116,795.36 : x
  2. Step 2: Convert to fraction form
    208,677.44/287,969.64 = 116,795.36/x
  3. Step 3: Cross multiply
    208,677.44x = 287,969.64 × 116,795.36
  4. Step 4: Simplify right side
    208,677.44x = 33,633,517,772.87
  5. Step 5: Solve for x
    x = 33,633,517,772.87/208,677.44
  6. Step 6: Final answer
    x = 161,174.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.