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Finding the Fourth Proportional to 208,142.39, 287,237.41 and 117,499.44

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Solution

The fourth proportional to 208,142.39, 287,237.41 and 117,499.44 is: 162,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,142.39 : 287,237.41 = 117,499.44 : x
  2. Step 2: Convert to fraction form
    208,142.39/287,237.41 = 117,499.44/x
  3. Step 3: Cross multiply
    208,142.39x = 287,237.41 × 117,499.44
  4. Step 4: Simplify right side
    208,142.39x = 33,750,235,605.44
  5. Step 5: Solve for x
    x = 33,750,235,605.44/208,142.39
  6. Step 6: Final answer
    x = 162,149.74

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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.