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Finding the Fourth Proportional to 149,900.80, 224,923.20 and 100,004.80

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Solution

The fourth proportional to 149,900.80, 224,923.20 and 100,004.80 is: 150,055.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,900.80 : 224,923.20 = 100,004.80 : x
  2. Step 2: Convert to fraction form
    149,900.80/224,923.20 = 100,004.80/x
  3. Step 3: Cross multiply
    149,900.80x = 224,923.20 × 100,004.80
  4. Step 4: Simplify right side
    149,900.80x = 22,493,399,631.36
  5. Step 5: Solve for x
    x = 22,493,399,631.36/149,900.80
  6. Step 6: Final answer
    x = 150,055.23

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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.