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Finding the Fourth Proportional to 102,664, 154,057.44 and 44,296

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Solution

The fourth proportional to 102,664, 154,057.44 and 44,296 is: 66,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,664 : 154,057.44 = 44,296 : x
  2. Step 2: Convert to fraction form
    102,664/154,057.44 = 44,296/x
  3. Step 3: Cross multiply
    102,664x = 154,057.44 × 44,296
  4. Step 4: Simplify right side
    102,664x = 6,824,128,362.24
  5. Step 5: Solve for x
    x = 6,824,128,362.24/102,664
  6. Step 6: Final answer
    x = 66,470.51

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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.