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Finding the Fourth Proportional to 205,049.70, 307,574.55 and 200,441.70

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Solution

The fourth proportional to 205,049.70, 307,574.55 and 200,441.70 is: 300,662.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,049.70 : 307,574.55 = 200,441.70 : x
  2. Step 2: Convert to fraction form
    205,049.70/307,574.55 = 200,441.70/x
  3. Step 3: Cross multiply
    205,049.70x = 307,574.55 × 200,441.70
  4. Step 4: Simplify right side
    205,049.70x = 61,650,765,678.74
  5. Step 5: Solve for x
    x = 61,650,765,678.74/205,049.70
  6. Step 6: Final answer
    x = 300,662.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.