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Finding the Fourth Proportional to 150,438.44, 225,662.52 and 45,258.32

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Solution

The fourth proportional to 150,438.44, 225,662.52 and 45,258.32 is: 67,888.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,438.44 : 225,662.52 = 45,258.32 : x
  2. Step 2: Convert to fraction form
    150,438.44/225,662.52 = 45,258.32/x
  3. Step 3: Cross multiply
    150,438.44x = 225,662.52 × 45,258.32
  4. Step 4: Simplify right side
    150,438.44x = 10,213,106,542.17
  5. Step 5: Solve for x
    x = 10,213,106,542.17/150,438.44
  6. Step 6: Final answer
    x = 67,888.94

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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.