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Finding the Fourth Proportional to 149,034.54, 223,579.44 and 49,201.68

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Solution

The fourth proportional to 149,034.54, 223,579.44 and 49,201.68 is: 73,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,034.54 : 223,579.44 = 49,201.68 : x
  2. Step 2: Convert to fraction form
    149,034.54/223,579.44 = 49,201.68/x
  3. Step 3: Cross multiply
    149,034.54x = 223,579.44 × 49,201.68
  4. Step 4: Simplify right side
    149,034.54x = 11,000,484,061.46
  5. Step 5: Solve for x
    x = 11,000,484,061.46/149,034.54
  6. Step 6: Final answer
    x = 73,811.64

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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.