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Finding the Fourth Proportional to 190,200.07, 285,347.49 and 57,082.78

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Solution

The fourth proportional to 190,200.07, 285,347.49 and 57,082.78 is: 85,638.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,200.07 : 285,347.49 = 57,082.78 : x
  2. Step 2: Convert to fraction form
    190,200.07/285,347.49 = 57,082.78/x
  3. Step 3: Cross multiply
    190,200.07x = 285,347.49 × 57,082.78
  4. Step 4: Simplify right side
    190,200.07x = 16,288,427,995.22
  5. Step 5: Solve for x
    x = 16,288,427,995.22/190,200.07
  6. Step 6: Final answer
    x = 85,638.39

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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.