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Finding the Fourth Proportional to 238,240.44, 357,284.82 and 78,279.24

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Solution

The fourth proportional to 238,240.44, 357,284.82 and 78,279.24 is: 117,393.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,240.44 : 357,284.82 = 78,279.24 : x
  2. Step 2: Convert to fraction form
    238,240.44/357,284.82 = 78,279.24/x
  3. Step 3: Cross multiply
    238,240.44x = 357,284.82 × 78,279.24
  4. Step 4: Simplify right side
    238,240.44x = 27,967,984,173.14
  5. Step 5: Solve for x
    x = 27,967,984,173.14/238,240.44
  6. Step 6: Final answer
    x = 117,393.94

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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.