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Finding the Fourth Proportional to 164,704.46, 227,292.45 and 89,252.96

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Solution

The fourth proportional to 164,704.46, 227,292.45 and 89,252.96 is: 123,169.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,704.46 : 227,292.45 = 89,252.96 : x
  2. Step 2: Convert to fraction form
    164,704.46/227,292.45 = 89,252.96/x
  3. Step 3: Cross multiply
    164,704.46x = 227,292.45 × 89,252.96
  4. Step 4: Simplify right side
    164,704.46x = 20,286,523,948.15
  5. Step 5: Solve for x
    x = 20,286,523,948.15/164,704.46
  6. Step 6: Final answer
    x = 123,169.24

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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.