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Finding the Fourth Proportional to 205,494.80, 308,242.20 and 164,022.80

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Solution

The fourth proportional to 205,494.80, 308,242.20 and 164,022.80 is: 246,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,494.80 : 308,242.20 = 164,022.80 : x
  2. Step 2: Convert to fraction form
    205,494.80/308,242.20 = 164,022.80/x
  3. Step 3: Cross multiply
    205,494.80x = 308,242.20 × 164,022.80
  4. Step 4: Simplify right side
    205,494.80x = 50,558,748,722.16
  5. Step 5: Solve for x
    x = 50,558,748,722.16/205,494.80
  6. Step 6: Final answer
    x = 246,034.20

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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.