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Finding the Fourth Proportional to 189,354.64, 262,414.06 and 186,682

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Solution

The fourth proportional to 189,354.64, 262,414.06 and 186,682 is: 258,710.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,354.64 : 262,414.06 = 186,682 : x
  2. Step 2: Convert to fraction form
    189,354.64/262,414.06 = 186,682/x
  3. Step 3: Cross multiply
    189,354.64x = 262,414.06 × 186,682
  4. Step 4: Simplify right side
    189,354.64x = 48,987,981,548.92
  5. Step 5: Solve for x
    x = 48,987,981,548.92/189,354.64
  6. Step 6: Final answer
    x = 258,710.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.