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Finding the Fourth Proportional to 137,902.54, 190,326.09 and 84,218.44

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Solution

The fourth proportional to 137,902.54, 190,326.09 and 84,218.44 is: 116,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,902.54 : 190,326.09 = 84,218.44 : x
  2. Step 2: Convert to fraction form
    137,902.54/190,326.09 = 84,218.44/x
  3. Step 3: Cross multiply
    137,902.54x = 190,326.09 × 84,218.44
  4. Step 4: Simplify right side
    137,902.54x = 16,028,966,391.10
  5. Step 5: Solve for x
    x = 16,028,966,391.10/137,902.54
  6. Step 6: Final answer
    x = 116,234.02

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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.