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Finding the Fourth Proportional to 164,453.68, 226,946.62 and 89,002.16

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Solution

The fourth proportional to 164,453.68, 226,946.62 and 89,002.16 is: 122,823.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,453.68 : 226,946.62 = 89,002.16 : x
  2. Step 2: Convert to fraction form
    164,453.68/226,946.62 = 89,002.16/x
  3. Step 3: Cross multiply
    164,453.68x = 226,946.62 × 89,002.16
  4. Step 4: Simplify right side
    164,453.68x = 20,198,739,384.70
  5. Step 5: Solve for x
    x = 20,198,739,384.70/164,453.68
  6. Step 6: Final answer
    x = 122,823.27

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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.