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Finding the Fourth Proportional to 164,704.21, 227,292.11 and 89,252.71

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Solution

The fourth proportional to 164,704.21, 227,292.11 and 89,252.71 is: 123,168.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,704.21 : 227,292.11 = 89,252.71 : x
  2. Step 2: Convert to fraction form
    164,704.21/227,292.11 = 89,252.71/x
  3. Step 3: Cross multiply
    164,704.21x = 227,292.11 × 89,252.71
  4. Step 4: Simplify right side
    164,704.21x = 20,286,436,332.85
  5. Step 5: Solve for x
    x = 20,286,436,332.85/164,704.21
  6. Step 6: Final answer
    x = 123,168.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.