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Finding the Fourth Proportional to 254,055.84, 381,231.36 and 113,814.47

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Solution

The fourth proportional to 254,055.84, 381,231.36 and 113,814.47 is: 170,787.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,055.84 : 381,231.36 = 113,814.47 : x
  2. Step 2: Convert to fraction form
    254,055.84/381,231.36 = 113,814.47/x
  3. Step 3: Cross multiply
    254,055.84x = 381,231.36 × 113,814.47
  4. Step 4: Simplify right side
    254,055.84x = 43,389,643,279.62
  5. Step 5: Solve for x
    x = 43,389,643,279.62/254,055.84
  6. Step 6: Final answer
    x = 170,787.82

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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.