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Finding the Fourth Proportional to 204,829.80, 306,726.30 and 163,357.80

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Solution

The fourth proportional to 204,829.80, 306,726.30 and 163,357.80 is: 244,623.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,829.80 : 306,726.30 = 163,357.80 : x
  2. Step 2: Convert to fraction form
    204,829.80/306,726.30 = 163,357.80/x
  3. Step 3: Cross multiply
    204,829.80x = 306,726.30 × 163,357.80
  4. Step 4: Simplify right side
    204,829.80x = 50,106,133,570.14
  5. Step 5: Solve for x
    x = 50,106,133,570.14/204,829.80
  6. Step 6: Final answer
    x = 244,623.26

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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.