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Finding the Fourth Proportional to 150,634.22, 207,868.32 and 82,649.72

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Solution

The fourth proportional to 150,634.22, 207,868.32 and 82,649.72 is: 114,052.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,634.22 : 207,868.32 = 82,649.72 : x
  2. Step 2: Convert to fraction form
    150,634.22/207,868.32 = 82,649.72/x
  3. Step 3: Cross multiply
    150,634.22x = 207,868.32 × 82,649.72
  4. Step 4: Simplify right side
    150,634.22x = 17,180,258,444.87
  5. Step 5: Solve for x
    x = 17,180,258,444.87/150,634.22
  6. Step 6: Final answer
    x = 114,052.83

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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.