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Finding the Fourth Proportional to 137,771.66, 190,214.54 and 84,087.80

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Solution

The fourth proportional to 137,771.66, 190,214.54 and 84,087.80 is: 116,095.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,771.66 : 190,214.54 = 84,087.80 : x
  2. Step 2: Convert to fraction form
    137,771.66/190,214.54 = 84,087.80/x
  3. Step 3: Cross multiply
    137,771.66x = 190,214.54 × 84,087.80
  4. Step 4: Simplify right side
    137,771.66x = 15,994,722,196.61
  5. Step 5: Solve for x
    x = 15,994,722,196.61/137,771.66
  6. Step 6: Final answer
    x = 116,095.88

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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.