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Finding the Fourth Proportional to 204,212.40, 305,627.40 and 179,329.20

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Solution

The fourth proportional to 204,212.40, 305,627.40 and 179,329.20 is: 268,386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,212.40 : 305,627.40 = 179,329.20 : x
  2. Step 2: Convert to fraction form
    204,212.40/305,627.40 = 179,329.20/x
  3. Step 3: Cross multiply
    204,212.40x = 305,627.40 × 179,329.20
  4. Step 4: Simplify right side
    204,212.40x = 54,807,917,140.08
  5. Step 5: Solve for x
    x = 54,807,917,140.08/204,212.40
  6. Step 6: Final answer
    x = 268,386.82

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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.