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Finding the Fourth Proportional to 254,016, 350,554.23 and 140,838.75

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Solution

The fourth proportional to 254,016, 350,554.23 and 140,838.75 is: 194,364.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,016 : 350,554.23 = 140,838.75 : x
  2. Step 2: Convert to fraction form
    254,016/350,554.23 = 140,838.75/x
  3. Step 3: Cross multiply
    254,016x = 350,554.23 × 140,838.75
  4. Step 4: Simplify right side
    254,016x = 49,371,619,560.41
  5. Step 5: Solve for x
    x = 49,371,619,560.41/254,016
  6. Step 6: Final answer
    x = 194,364.21

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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.