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Finding the Fourth Proportional to 204,083.74, 305,914.20 and 147,783.07

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Solution

The fourth proportional to 204,083.74, 305,914.20 and 147,783.07 is: 221,521.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,083.74 : 305,914.20 = 147,783.07 : x
  2. Step 2: Convert to fraction form
    204,083.74/305,914.20 = 147,783.07/x
  3. Step 3: Cross multiply
    204,083.74x = 305,914.20 × 147,783.07
  4. Step 4: Simplify right side
    204,083.74x = 45,208,939,632.59
  5. Step 5: Solve for x
    x = 45,208,939,632.59/204,083.74
  6. Step 6: Final answer
    x = 221,521.52

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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.