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Finding the Fourth Proportional to 146,861.90, 202,679.44 and 83,200.22

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Solution

The fourth proportional to 146,861.90, 202,679.44 and 83,200.22 is: 114,821.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,861.90 : 202,679.44 = 83,200.22 : x
  2. Step 2: Convert to fraction form
    146,861.90/202,679.44 = 83,200.22/x
  3. Step 3: Cross multiply
    146,861.90x = 202,679.44 × 83,200.22
  4. Step 4: Simplify right side
    146,861.90x = 16,862,972,984.08
  5. Step 5: Solve for x
    x = 16,862,972,984.08/146,861.90
  6. Step 6: Final answer
    x = 114,821.98

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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.