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Finding the Fourth Proportional to 189,241.74, 283,610.42 and 89,428.43

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Solution

The fourth proportional to 189,241.74, 283,610.42 and 89,428.43 is: 134,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,241.74 : 283,610.42 = 89,428.43 : x
  2. Step 2: Convert to fraction form
    189,241.74/283,610.42 = 89,428.43/x
  3. Step 3: Cross multiply
    189,241.74x = 283,610.42 × 89,428.43
  4. Step 4: Simplify right side
    189,241.74x = 25,362,834,592.24
  5. Step 5: Solve for x
    x = 25,362,834,592.24/189,241.74
  6. Step 6: Final answer
    x = 134,023.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.