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Finding the Fourth Proportional to 102,647.70, 154,057.95 and 50,102.10

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Solution

The fourth proportional to 102,647.70, 154,057.95 and 50,102.10 is: 75,195.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,647.70 : 154,057.95 = 50,102.10 : x
  2. Step 2: Convert to fraction form
    102,647.70/154,057.95 = 50,102.10/x
  3. Step 3: Cross multiply
    102,647.70x = 154,057.95 × 50,102.10
  4. Step 4: Simplify right side
    102,647.70x = 7,718,626,816.70
  5. Step 5: Solve for x
    x = 7,718,626,816.70/102,647.70
  6. Step 6: Final answer
    x = 75,195.32

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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.