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Finding the Fourth Proportional to 189,243.10, 283,869.77 and 47,082.63

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Solution

The fourth proportional to 189,243.10, 283,869.77 and 47,082.63 is: 70,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,243.10 : 283,869.77 = 47,082.63 : x
  2. Step 2: Convert to fraction form
    189,243.10/283,869.77 = 47,082.63/x
  3. Step 3: Cross multiply
    189,243.10x = 283,869.77 × 47,082.63
  4. Step 4: Simplify right side
    189,243.10x = 13,365,335,349.10
  5. Step 5: Solve for x
    x = 13,365,335,349.10/189,243.10
  6. Step 6: Final answer
    x = 70,625.22

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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.