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Finding the Fourth Proportional to 241,891.36, 362,869.89 and 84,099.40

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Solution

The fourth proportional to 241,891.36, 362,869.89 and 84,099.40 is: 126,160.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,891.36 : 362,869.89 = 84,099.40 : x
  2. Step 2: Convert to fraction form
    241,891.36/362,869.89 = 84,099.40/x
  3. Step 3: Cross multiply
    241,891.36x = 362,869.89 × 84,099.40
  4. Step 4: Simplify right side
    241,891.36x = 30,517,140,027.07
  5. Step 5: Solve for x
    x = 30,517,140,027.07/241,891.36
  6. Step 6: Final answer
    x = 126,160.52

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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.