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Finding the Fourth Proportional to 146,241.84, 201,792 and 82,578.36

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Solution

The fourth proportional to 146,241.84, 201,792 and 82,578.36 is: 113,945.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,241.84 : 201,792 = 82,578.36 : x
  2. Step 2: Convert to fraction form
    146,241.84/201,792 = 82,578.36/x
  3. Step 3: Cross multiply
    146,241.84x = 201,792 × 82,578.36
  4. Step 4: Simplify right side
    146,241.84x = 16,663,652,421.12
  5. Step 5: Solve for x
    x = 16,663,652,421.12/146,241.84
  6. Step 6: Final answer
    x = 113,945.86

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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.