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Finding the Fourth Proportional to 100,100.46, 150,146.00 and 29,020.98

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Solution

The fourth proportional to 100,100.46, 150,146.00 and 29,020.98 is: 43,530.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,100.46 : 150,146.00 = 29,020.98 : x
  2. Step 2: Convert to fraction form
    100,100.46/150,146.00 = 29,020.98/x
  3. Step 3: Cross multiply
    100,100.46x = 150,146.00 × 29,020.98
  4. Step 4: Simplify right side
    100,100.46x = 4,357,384,753.09
  5. Step 5: Solve for x
    x = 4,357,384,753.09/100,100.46
  6. Step 6: Final answer
    x = 43,530.12

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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.