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Finding the Fourth Proportional to 150,534.64, 225,839.02 and 106,247.89

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Solution

The fourth proportional to 150,534.64, 225,839.02 and 106,247.89 is: 159,397.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,534.64 : 225,839.02 = 106,247.89 : x
  2. Step 2: Convert to fraction form
    150,534.64/225,839.02 = 106,247.89/x
  3. Step 3: Cross multiply
    150,534.64x = 225,839.02 × 106,247.89
  4. Step 4: Simplify right side
    150,534.64x = 23,994,919,354.67
  5. Step 5: Solve for x
    x = 23,994,919,354.67/150,534.64
  6. Step 6: Final answer
    x = 159,397.99

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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.