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Finding the Fourth Proportional to 137,071.44, 205,568.28 and 53,946

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Solution

The fourth proportional to 137,071.44, 205,568.28 and 53,946 is: 80,903.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,071.44 : 205,568.28 = 53,946 : x
  2. Step 2: Convert to fraction form
    137,071.44/205,568.28 = 53,946/x
  3. Step 3: Cross multiply
    137,071.44x = 205,568.28 × 53,946
  4. Step 4: Simplify right side
    137,071.44x = 11,089,586,432.88
  5. Step 5: Solve for x
    x = 11,089,586,432.88/137,071.44
  6. Step 6: Final answer
    x = 80,903.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.