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Finding the Fourth Proportional to 248,540.16, 342,973.68 and 141,096

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Solution

The fourth proportional to 248,540.16, 342,973.68 and 141,096 is: 194,705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,540.16 : 342,973.68 = 141,096 : x
  2. Step 2: Convert to fraction form
    248,540.16/342,973.68 = 141,096/x
  3. Step 3: Cross multiply
    248,540.16x = 342,973.68 × 141,096
  4. Step 4: Simplify right side
    248,540.16x = 48,392,214,353.28
  5. Step 5: Solve for x
    x = 48,392,214,353.28/248,540.16
  6. Step 6: Final answer
    x = 194,705.81

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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.