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Finding the Fourth Proportional to 137,795.39, 190,178.42 and 84,111.54

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Solution

The fourth proportional to 137,795.39, 190,178.42 and 84,111.54 is: 116,086.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,795.39 : 190,178.42 = 84,111.54 : x
  2. Step 2: Convert to fraction form
    137,795.39/190,178.42 = 84,111.54/x
  3. Step 3: Cross multiply
    137,795.39x = 190,178.42 × 84,111.54
  4. Step 4: Simplify right side
    137,795.39x = 15,996,199,780.97
  5. Step 5: Solve for x
    x = 15,996,199,780.97/137,795.39
  6. Step 6: Final answer
    x = 116,086.61

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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.