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Finding the Fourth Proportional to 146,451.38, 202,102.92 and 79,383.38

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Solution

The fourth proportional to 146,451.38, 202,102.92 and 79,383.38 is: 109,549.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,451.38 : 202,102.92 = 79,383.38 : x
  2. Step 2: Convert to fraction form
    146,451.38/202,102.92 = 79,383.38/x
  3. Step 3: Cross multiply
    146,451.38x = 202,102.92 × 79,383.38
  4. Step 4: Simplify right side
    146,451.38x = 16,043,611,886.96
  5. Step 5: Solve for x
    x = 16,043,611,886.96/146,451.38
  6. Step 6: Final answer
    x = 109,549.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.