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Finding the Fourth Proportional to 150,509.00, 225,604.40 and 55,678.28

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Solution

The fourth proportional to 150,509.00, 225,604.40 and 55,678.28 is: 83,458.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,509.00 : 225,604.40 = 55,678.28 : x
  2. Step 2: Convert to fraction form
    150,509.00/225,604.40 = 55,678.28/x
  3. Step 3: Cross multiply
    150,509.00x = 225,604.40 × 55,678.28
  4. Step 4: Simplify right side
    150,509.00x = 12,561,263,546.02
  5. Step 5: Solve for x
    x = 12,561,263,546.02/150,509.00
  6. Step 6: Final answer
    x = 83,458.56

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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.