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Finding the Fourth Proportional to 149,097.20, 223,768.20 and 147,930.80

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Solution

The fourth proportional to 149,097.20, 223,768.20 and 147,930.80 is: 222,017.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,097.20 : 223,768.20 = 147,930.80 : x
  2. Step 2: Convert to fraction form
    149,097.20/223,768.20 = 147,930.80/x
  3. Step 3: Cross multiply
    149,097.20x = 223,768.20 × 147,930.80
  4. Step 4: Simplify right side
    149,097.20x = 33,102,208,840.56
  5. Step 5: Solve for x
    x = 33,102,208,840.56/149,097.20
  6. Step 6: Final answer
    x = 222,017.64

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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.