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Finding the Fourth Proportional to 189,146.82, 283,787.99 and 81,030.83

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Solution

The fourth proportional to 189,146.82, 283,787.99 and 81,030.83 is: 121,575.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,146.82 : 283,787.99 = 81,030.83 : x
  2. Step 2: Convert to fraction form
    189,146.82/283,787.99 = 81,030.83/x
  3. Step 3: Cross multiply
    189,146.82x = 283,787.99 × 81,030.83
  4. Step 4: Simplify right side
    189,146.82x = 22,995,576,373.73
  5. Step 5: Solve for x
    x = 22,995,576,373.73/189,146.82
  6. Step 6: Final answer
    x = 121,575.27

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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.