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Finding the Fourth Proportional to 190,296, 285,433.02 and 57,173.40

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Solution

The fourth proportional to 190,296, 285,433.02 and 57,173.40 is: 85,756.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,296 : 285,433.02 = 57,173.40 : x
  2. Step 2: Convert to fraction form
    190,296/285,433.02 = 57,173.40/x
  3. Step 3: Cross multiply
    190,296x = 285,433.02 × 57,173.40
  4. Step 4: Simplify right side
    190,296x = 16,319,176,225.67
  5. Step 5: Solve for x
    x = 16,319,176,225.67/190,296
  6. Step 6: Final answer
    x = 85,756.80

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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.