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Finding the Fourth Proportional to 208,106.74, 287,188.26 and 117,466.54

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Solution

The fourth proportional to 208,106.74, 287,188.26 and 117,466.54 is: 162,104.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,106.74 : 287,188.26 = 117,466.54 : x
  2. Step 2: Convert to fraction form
    208,106.74/287,188.26 = 117,466.54/x
  3. Step 3: Cross multiply
    208,106.74x = 287,188.26 × 117,466.54
  4. Step 4: Simplify right side
    208,106.74x = 33,735,011,230.82
  5. Step 5: Solve for x
    x = 33,735,011,230.82/208,106.74
  6. Step 6: Final answer
    x = 162,104.37

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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.