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Finding the Fourth Proportional to 150,392.34, 225,589.79 and 120,332.09

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Solution

The fourth proportional to 150,392.34, 225,589.79 and 120,332.09 is: 180,499.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,392.34 : 225,589.79 = 120,332.09 : x
  2. Step 2: Convert to fraction form
    150,392.34/225,589.79 = 120,332.09/x
  3. Step 3: Cross multiply
    150,392.34x = 225,589.79 × 120,332.09
  4. Step 4: Simplify right side
    150,392.34x = 27,145,690,913.36
  5. Step 5: Solve for x
    x = 27,145,690,913.36/150,392.34
  6. Step 6: Final answer
    x = 180,499.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.