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Finding the Fourth Proportional to 102,992.50, 154,489.68 and 40,663

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Solution

The fourth proportional to 102,992.50, 154,489.68 and 40,663 is: 60,994.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,992.50 : 154,489.68 = 40,663 : x
  2. Step 2: Convert to fraction form
    102,992.50/154,489.68 = 40,663/x
  3. Step 3: Cross multiply
    102,992.50x = 154,489.68 × 40,663
  4. Step 4: Simplify right side
    102,992.50x = 6,282,013,857.84
  5. Step 5: Solve for x
    x = 6,282,013,857.84/102,992.50
  6. Step 6: Final answer
    x = 60,994.87

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Why These Related Problems?

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