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Finding the Fourth Proportional to 150,638.44, 207,874.09 and 82,653.72

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Solution

The fourth proportional to 150,638.44, 207,874.09 and 82,653.72 is: 114,058.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,638.44 : 207,874.09 = 82,653.72 : x
  2. Step 2: Convert to fraction form
    150,638.44/207,874.09 = 82,653.72/x
  3. Step 3: Cross multiply
    150,638.44x = 207,874.09 × 82,653.72
  4. Step 4: Simplify right side
    150,638.44x = 17,181,566,830.11
  5. Step 5: Solve for x
    x = 17,181,566,830.11/150,638.44
  6. Step 6: Final answer
    x = 114,058.32

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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.