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Finding the Fourth Proportional to 239,809.44, 330,985.38 and 137,906.16

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Solution

The fourth proportional to 239,809.44, 330,985.38 and 137,906.16 is: 190,338.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,809.44 : 330,985.38 = 137,906.16 : x
  2. Step 2: Convert to fraction form
    239,809.44/330,985.38 = 137,906.16/x
  3. Step 3: Cross multiply
    239,809.44x = 330,985.38 × 137,906.16
  4. Step 4: Simplify right side
    239,809.44x = 45,644,922,771.94
  5. Step 5: Solve for x
    x = 45,644,922,771.94/239,809.44
  6. Step 6: Final answer
    x = 190,338.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.