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Finding the Fourth Proportional to 337,072.42, 505,677.84 and 137,393.62

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Solution

The fourth proportional to 337,072.42, 505,677.84 and 137,393.62 is: 206,118.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,072.42 : 505,677.84 = 137,393.62 : x
  2. Step 2: Convert to fraction form
    337,072.42/505,677.84 = 137,393.62/x
  3. Step 3: Cross multiply
    337,072.42x = 505,677.84 × 137,393.62
  4. Step 4: Simplify right side
    337,072.42x = 69,476,908,991.38
  5. Step 5: Solve for x
    x = 69,476,908,991.38/337,072.42
  6. Step 6: Final answer
    x = 206,118.64

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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.