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Finding the Fourth Proportional to 190,396.84, 285,381.42 and 90,475.24

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Solution

The fourth proportional to 190,396.84, 285,381.42 and 90,475.24 is: 135,611.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,396.84 : 285,381.42 = 90,475.24 : x
  2. Step 2: Convert to fraction form
    190,396.84/285,381.42 = 90,475.24/x
  3. Step 3: Cross multiply
    190,396.84x = 285,381.42 × 90,475.24
  4. Step 4: Simplify right side
    190,396.84x = 25,819,952,466.04
  5. Step 5: Solve for x
    x = 25,819,952,466.04/190,396.84
  6. Step 6: Final answer
    x = 135,611.24

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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.