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Finding the Fourth Proportional to 241,954.63, 362,893.06 and 75,742.63

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Solution

The fourth proportional to 241,954.63, 362,893.06 and 75,742.63 is: 113,601.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,954.63 : 362,893.06 = 75,742.63 : x
  2. Step 2: Convert to fraction form
    241,954.63/362,893.06 = 75,742.63/x
  3. Step 3: Cross multiply
    241,954.63x = 362,893.06 × 75,742.63
  4. Step 4: Simplify right side
    241,954.63x = 27,486,473,960.59
  5. Step 5: Solve for x
    x = 27,486,473,960.59/241,954.63
  6. Step 6: Final answer
    x = 113,601.77

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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.