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Finding the Fourth Proportional to 137,809.57, 190,206.83 and 84,083.05

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Solution

The fourth proportional to 137,809.57, 190,206.83 and 84,083.05 is: 116,052.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,809.57 : 190,206.83 = 84,083.05 : x
  2. Step 2: Convert to fraction form
    137,809.57/190,206.83 = 84,083.05/x
  3. Step 3: Cross multiply
    137,809.57x = 190,206.83 × 84,083.05
  4. Step 4: Simplify right side
    137,809.57x = 15,993,169,976.82
  5. Step 5: Solve for x
    x = 15,993,169,976.82/137,809.57
  6. Step 6: Final answer
    x = 116,052.68

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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.