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Finding the Fourth Proportional to 241,845.32, 362,709.66 and 75,633.32

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Solution

The fourth proportional to 241,845.32, 362,709.66 and 75,633.32 is: 113,431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,845.32 : 362,709.66 = 75,633.32 : x
  2. Step 2: Convert to fraction form
    241,845.32/362,709.66 = 75,633.32/x
  3. Step 3: Cross multiply
    241,845.32x = 362,709.66 × 75,633.32
  4. Step 4: Simplify right side
    241,845.32x = 27,432,935,781.87
  5. Step 5: Solve for x
    x = 27,432,935,781.87/241,845.32
  6. Step 6: Final answer
    x = 113,431.74

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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.