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Finding the Fourth Proportional to 100,102.46, 150,149 and 29,022.98

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Solution

The fourth proportional to 100,102.46, 150,149 and 29,022.98 is: 43,533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,102.46 : 150,149 = 29,022.98 : x
  2. Step 2: Convert to fraction form
    100,102.46/150,149 = 29,022.98/x
  3. Step 3: Cross multiply
    100,102.46x = 150,149 × 29,022.98
  4. Step 4: Simplify right side
    100,102.46x = 4,357,771,424.02
  5. Step 5: Solve for x
    x = 4,357,771,424.02/100,102.46
  6. Step 6: Final answer
    x = 43,533.11

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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.