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Finding the Fourth Proportional to 254,288.25, 350,928.72 and 141,111

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Solution

The fourth proportional to 254,288.25, 350,928.72 and 141,111 is: 194,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,288.25 : 350,928.72 = 141,111 : x
  2. Step 2: Convert to fraction form
    254,288.25/350,928.72 = 141,111/x
  3. Step 3: Cross multiply
    254,288.25x = 350,928.72 × 141,111
  4. Step 4: Simplify right side
    254,288.25x = 49,519,902,607.92
  5. Step 5: Solve for x
    x = 49,519,902,607.92/254,288.25
  6. Step 6: Final answer
    x = 194,739.25

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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.