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Finding the Fourth Proportional to 208,092.60, 287,168.78 and 117,452.40

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Solution

The fourth proportional to 208,092.60, 287,168.78 and 117,452.40 is: 162,084.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,092.60 : 287,168.78 = 117,452.40 : x
  2. Step 2: Convert to fraction form
    208,092.60/287,168.78 = 117,452.40/x
  3. Step 3: Cross multiply
    208,092.60x = 287,168.78 × 117,452.40
  4. Step 4: Simplify right side
    208,092.60x = 33,728,662,416.07
  5. Step 5: Solve for x
    x = 33,728,662,416.07/208,092.60
  6. Step 6: Final answer
    x = 162,084.87

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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.