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Finding the Fourth Proportional to 122,440.44, 183,643.38 and 38,181

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Solution

The fourth proportional to 122,440.44, 183,643.38 and 38,181 is: 57,266.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,440.44 : 183,643.38 = 38,181 : x
  2. Step 2: Convert to fraction form
    122,440.44/183,643.38 = 38,181/x
  3. Step 3: Cross multiply
    122,440.44x = 183,643.38 × 38,181
  4. Step 4: Simplify right side
    122,440.44x = 7,011,687,891.78
  5. Step 5: Solve for x
    x = 7,011,687,891.78/122,440.44
  6. Step 6: Final answer
    x = 57,266.11

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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.