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Finding the Fourth Proportional to 137,819.66, 190,186.29 and 84,194.42

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Solution

The fourth proportional to 137,819.66, 190,186.29 and 84,194.42 is: 116,185.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,819.66 : 190,186.29 = 84,194.42 : x
  2. Step 2: Convert to fraction form
    137,819.66/190,186.29 = 84,194.42/x
  3. Step 3: Cross multiply
    137,819.66x = 190,186.29 × 84,194.42
  4. Step 4: Simplify right side
    137,819.66x = 16,012,623,427.57
  5. Step 5: Solve for x
    x = 16,012,623,427.57/137,819.66
  6. Step 6: Final answer
    x = 116,185.34

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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.