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Finding the Fourth Proportional to 254,065.39, 381,245.74 and 113,824.01

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Solution

The fourth proportional to 254,065.39, 381,245.74 and 113,824.01 is: 170,802.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,065.39 : 381,245.74 = 113,824.01 : x
  2. Step 2: Convert to fraction form
    254,065.39/381,245.74 = 113,824.01/x
  3. Step 3: Cross multiply
    254,065.39x = 381,245.74 × 113,824.01
  4. Step 4: Simplify right side
    254,065.39x = 43,394,919,590.77
  5. Step 5: Solve for x
    x = 43,394,919,590.77/254,065.39
  6. Step 6: Final answer
    x = 170,802.17

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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.