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Finding the Fourth Proportional to 137,516.20, 206,274.30 and 102,524.20

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Solution

The fourth proportional to 137,516.20, 206,274.30 and 102,524.20 is: 153,786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,516.20 : 206,274.30 = 102,524.20 : x
  2. Step 2: Convert to fraction form
    137,516.20/206,274.30 = 102,524.20/x
  3. Step 3: Cross multiply
    137,516.20x = 206,274.30 × 102,524.20
  4. Step 4: Simplify right side
    137,516.20x = 21,148,107,588.06
  5. Step 5: Solve for x
    x = 21,148,107,588.06/137,516.20
  6. Step 6: Final answer
    x = 153,786.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.