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Finding the Fourth Proportional to 263,290.54, 363,339.30 and 142,431.34

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Solution

The fourth proportional to 263,290.54, 363,339.30 and 142,431.34 is: 196,554.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,290.54 : 363,339.30 = 142,431.34 : x
  2. Step 2: Convert to fraction form
    263,290.54/363,339.30 = 142,431.34/x
  3. Step 3: Cross multiply
    263,290.54x = 363,339.30 × 142,431.34
  4. Step 4: Simplify right side
    263,290.54x = 51,750,903,373.66
  5. Step 5: Solve for x
    x = 51,750,903,373.66/263,290.54
  6. Step 6: Final answer
    x = 196,554.36

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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.