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Finding the Fourth Proportional to 148,142.72, 204,431.68 and 84,500.96

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Solution

The fourth proportional to 148,142.72, 204,431.68 and 84,500.96 is: 116,608.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,142.72 : 204,431.68 = 84,500.96 : x
  2. Step 2: Convert to fraction form
    148,142.72/204,431.68 = 84,500.96/x
  3. Step 3: Cross multiply
    148,142.72x = 204,431.68 × 84,500.96
  4. Step 4: Simplify right side
    148,142.72x = 17,274,673,214.41
  5. Step 5: Solve for x
    x = 17,274,673,214.41/148,142.72
  6. Step 6: Final answer
    x = 116,608.32

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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.