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Finding the Fourth Proportional to 238,797.44, 329,503.92 and 138,176

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Solution

The fourth proportional to 238,797.44, 329,503.92 and 138,176 is: 190,661.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,797.44 : 329,503.92 = 138,176 : x
  2. Step 2: Convert to fraction form
    238,797.44/329,503.92 = 138,176/x
  3. Step 3: Cross multiply
    238,797.44x = 329,503.92 × 138,176
  4. Step 4: Simplify right side
    238,797.44x = 45,529,533,649.92
  5. Step 5: Solve for x
    x = 45,529,533,649.92/238,797.44
  6. Step 6: Final answer
    x = 190,661.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.