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Finding the Fourth Proportional to 102,846.30, 154,197.01 and 39,613.45

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Solution

The fourth proportional to 102,846.30, 154,197.01 and 39,613.45 is: 59,392.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,846.30 : 154,197.01 = 39,613.45 : x
  2. Step 2: Convert to fraction form
    102,846.30/154,197.01 = 39,613.45/x
  3. Step 3: Cross multiply
    102,846.30x = 154,197.01 × 39,613.45
  4. Step 4: Simplify right side
    102,846.30x = 6,108,275,788.05
  5. Step 5: Solve for x
    x = 6,108,275,788.05/102,846.30
  6. Step 6: Final answer
    x = 59,392.27

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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.