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Finding the Fourth Proportional to 137,786.84, 206,653 and 37,921.24

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Solution

The fourth proportional to 137,786.84, 206,653 and 37,921.24 is: 56,874.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,786.84 : 206,653 = 37,921.24 : x
  2. Step 2: Convert to fraction form
    137,786.84/206,653 = 37,921.24/x
  3. Step 3: Cross multiply
    137,786.84x = 206,653 × 37,921.24
  4. Step 4: Simplify right side
    137,786.84x = 7,836,538,009.72
  5. Step 5: Solve for x
    x = 7,836,538,009.72/137,786.84
  6. Step 6: Final answer
    x = 56,874.36

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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.