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Finding the Fourth Proportional to 337,152.83, 505,729.24 and 137,364.30

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Solution

The fourth proportional to 337,152.83, 505,729.24 and 137,364.30 is: 206,046.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,152.83 : 505,729.24 = 137,364.30 : x
  2. Step 2: Convert to fraction form
    337,152.83/505,729.24 = 137,364.30/x
  3. Step 3: Cross multiply
    337,152.83x = 505,729.24 × 137,364.30
  4. Step 4: Simplify right side
    337,152.83x = 69,469,142,698.72
  5. Step 5: Solve for x
    x = 69,469,142,698.72/337,152.83
  6. Step 6: Final answer
    x = 206,046.45

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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.