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Finding the Fourth Proportional to 149,148.54, 223,715.52 and 55,647

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Solution

The fourth proportional to 149,148.54, 223,715.52 and 55,647 is: 83,467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,148.54 : 223,715.52 = 55,647 : x
  2. Step 2: Convert to fraction form
    149,148.54/223,715.52 = 55,647/x
  3. Step 3: Cross multiply
    149,148.54x = 223,715.52 × 55,647
  4. Step 4: Simplify right side
    149,148.54x = 12,449,097,541.44
  5. Step 5: Solve for x
    x = 12,449,097,541.44/149,148.54
  6. Step 6: Final answer
    x = 83,467.78

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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.