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Finding the Fourth Proportional to 204,917.80, 307,376.70 and 178,673.80

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Solution

The fourth proportional to 204,917.80, 307,376.70 and 178,673.80 is: 268,010.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,917.80 : 307,376.70 = 178,673.80 : x
  2. Step 2: Convert to fraction form
    204,917.80/307,376.70 = 178,673.80/x
  3. Step 3: Cross multiply
    204,917.80x = 307,376.70 × 178,673.80
  4. Step 4: Simplify right side
    204,917.80x = 54,920,163,020.46
  5. Step 5: Solve for x
    x = 54,920,163,020.46/204,917.80
  6. Step 6: Final answer
    x = 268,010.70

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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.