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Finding the Fourth Proportional to 187,137.46, 258,249.42 and 106,565

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Solution

The fourth proportional to 187,137.46, 258,249.42 and 106,565 is: 147,059.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,137.46 : 258,249.42 = 106,565 : x
  2. Step 2: Convert to fraction form
    187,137.46/258,249.42 = 106,565/x
  3. Step 3: Cross multiply
    187,137.46x = 258,249.42 × 106,565
  4. Step 4: Simplify right side
    187,137.46x = 27,520,349,442.30
  5. Step 5: Solve for x
    x = 27,520,349,442.30/187,137.46
  6. Step 6: Final answer
    x = 147,059.54

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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.