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Finding the Fourth Proportional to 190,257, 262,551.44 and 105,372.24

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Solution

The fourth proportional to 190,257, 262,551.44 and 105,372.24 is: 145,411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,257 : 262,551.44 = 105,372.24 : x
  2. Step 2: Convert to fraction form
    190,257/262,551.44 = 105,372.24/x
  3. Step 3: Cross multiply
    190,257x = 262,551.44 × 105,372.24
  4. Step 4: Simplify right side
    190,257x = 27,665,633,611.46
  5. Step 5: Solve for x
    x = 27,665,633,611.46/190,257
  6. Step 6: Final answer
    x = 145,411.91

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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.