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Finding the Fourth Proportional to 146,599.49, 202,296.12 and 82,941.41

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Solution

The fourth proportional to 146,599.49, 202,296.12 and 82,941.41 is: 114,452.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,599.49 : 202,296.12 = 82,941.41 : x
  2. Step 2: Convert to fraction form
    146,599.49/202,296.12 = 82,941.41/x
  3. Step 3: Cross multiply
    146,599.49x = 202,296.12 × 82,941.41
  4. Step 4: Simplify right side
    146,599.49x = 16,778,725,430.33
  5. Step 5: Solve for x
    x = 16,778,725,430.33/146,599.49
  6. Step 6: Final answer
    x = 114,452.82

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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.