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Finding the Fourth Proportional to 241,956.14, 362,895.32 and 75,744.14

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Solution

The fourth proportional to 241,956.14, 362,895.32 and 75,744.14 is: 113,604.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,956.14 : 362,895.32 = 75,744.14 : x
  2. Step 2: Convert to fraction form
    241,956.14/362,895.32 = 75,744.14/x
  3. Step 3: Cross multiply
    241,956.14x = 362,895.32 × 75,744.14
  4. Step 4: Simplify right side
    241,956.14x = 27,487,191,730.23
  5. Step 5: Solve for x
    x = 27,487,191,730.23/241,956.14
  6. Step 6: Final answer
    x = 113,604.03

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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.