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Finding the Fourth Proportional to 203,914.89, 281,339.06 and 117,842.51

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Solution

The fourth proportional to 203,914.89, 281,339.06 and 117,842.51 is: 162,585.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,914.89 : 281,339.06 = 117,842.51 : x
  2. Step 2: Convert to fraction form
    203,914.89/281,339.06 = 117,842.51/x
  3. Step 3: Cross multiply
    203,914.89x = 281,339.06 × 117,842.51
  4. Step 4: Simplify right side
    203,914.89x = 33,153,698,995.53
  5. Step 5: Solve for x
    x = 33,153,698,995.53/203,914.89
  6. Step 6: Final answer
    x = 162,585.96

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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.