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Finding the Fourth Proportional to 404,152.20, 606,290.57 and 137,850.50

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Solution

The fourth proportional to 404,152.20, 606,290.57 and 137,850.50 is: 206,796.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,152.20 : 606,290.57 = 137,850.50 : x
  2. Step 2: Convert to fraction form
    404,152.20/606,290.57 = 137,850.50/x
  3. Step 3: Cross multiply
    404,152.20x = 606,290.57 × 137,850.50
  4. Step 4: Simplify right side
    404,152.20x = 83,577,458,219.79
  5. Step 5: Solve for x
    x = 83,577,458,219.79/404,152.20
  6. Step 6: Final answer
    x = 206,796.99

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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.