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Finding the Fourth Proportional to 150,820.16, 208,134.32 and 82,843.41

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Solution

The fourth proportional to 150,820.16, 208,134.32 and 82,843.41 is: 114,325.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,820.16 : 208,134.32 = 82,843.41 : x
  2. Step 2: Convert to fraction form
    150,820.16/208,134.32 = 82,843.41/x
  3. Step 3: Cross multiply
    150,820.16x = 208,134.32 × 82,843.41
  4. Step 4: Simplify right side
    150,820.16x = 17,242,556,392.61
  5. Step 5: Solve for x
    x = 17,242,556,392.61/150,820.16
  6. Step 6: Final answer
    x = 114,325.28

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