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Finding the Fourth Proportional to 208,738.95, 288,086.88 and 116,893.20

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Solution

The fourth proportional to 208,738.95, 288,086.88 and 116,893.20 is: 161,327.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,738.95 : 288,086.88 = 116,893.20 : x
  2. Step 2: Convert to fraction form
    208,738.95/288,086.88 = 116,893.20/x
  3. Step 3: Cross multiply
    208,738.95x = 288,086.88 × 116,893.20
  4. Step 4: Simplify right side
    208,738.95x = 33,675,397,281.22
  5. Step 5: Solve for x
    x = 33,675,397,281.22/208,738.95
  6. Step 6: Final answer
    x = 161,327.81

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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.