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Finding the Fourth Proportional to 208,184.38, 287,283.41 and 122,131.46

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Solution

The fourth proportional to 208,184.38, 287,283.41 and 122,131.46 is: 168,534.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,184.38 : 287,283.41 = 122,131.46 : x
  2. Step 2: Convert to fraction form
    208,184.38/287,283.41 = 122,131.46/x
  3. Step 3: Cross multiply
    208,184.38x = 287,283.41 × 122,131.46
  4. Step 4: Simplify right side
    208,184.38x = 35,086,342,862.62
  5. Step 5: Solve for x
    x = 35,086,342,862.62/208,184.38
  6. Step 6: Final answer
    x = 168,534.95

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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.