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Finding the Fourth Proportional to 140,778.36, 210,838.14 and 122,211

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Solution

The fourth proportional to 140,778.36, 210,838.14 and 122,211 is: 183,030.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,778.36 : 210,838.14 = 122,211 : x
  2. Step 2: Convert to fraction form
    140,778.36/210,838.14 = 122,211/x
  3. Step 3: Cross multiply
    140,778.36x = 210,838.14 × 122,211
  4. Step 4: Simplify right side
    140,778.36x = 25,766,739,927.54
  5. Step 5: Solve for x
    x = 25,766,739,927.54/140,778.36
  6. Step 6: Final answer
    x = 183,030.54

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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.