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Finding the Fourth Proportional to 150,984, 208,361.91 and 82,078.10

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Solution

The fourth proportional to 150,984, 208,361.91 and 82,078.10 is: 113,269.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,984 : 208,361.91 = 82,078.10 : x
  2. Step 2: Convert to fraction form
    150,984/208,361.91 = 82,078.10/x
  3. Step 3: Cross multiply
    150,984x = 208,361.91 × 82,078.10
  4. Step 4: Simplify right side
    150,984x = 17,101,948,862.39
  5. Step 5: Solve for x
    x = 17,101,948,862.39/150,984
  6. Step 6: Final answer
    x = 113,269.94

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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.