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Finding the Fourth Proportional to 137,817.43, 190,205.66 and 84,091.05

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Solution

The fourth proportional to 137,817.43, 190,205.66 and 84,091.05 is: 116,056.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,817.43 : 190,205.66 = 84,091.05 : x
  2. Step 2: Convert to fraction form
    137,817.43/190,205.66 = 84,091.05/x
  3. Step 3: Cross multiply
    137,817.43x = 190,205.66 × 84,091.05
  4. Step 4: Simplify right side
    137,817.43x = 15,994,593,665.34
  5. Step 5: Solve for x
    x = 15,994,593,665.34/137,817.43
  6. Step 6: Final answer
    x = 116,056.39

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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.