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Finding the Fourth Proportional to 451,862.36, 677,378.82 and 156,167

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Solution

The fourth proportional to 451,862.36, 677,378.82 and 156,167 is: 234,107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,862.36 : 677,378.82 = 156,167 : x
  2. Step 2: Convert to fraction form
    451,862.36/677,378.82 = 156,167/x
  3. Step 3: Cross multiply
    451,862.36x = 677,378.82 × 156,167
  4. Step 4: Simplify right side
    451,862.36x = 105,784,218,182.94
  5. Step 5: Solve for x
    x = 105,784,218,182.94/451,862.36
  6. Step 6: Final answer
    x = 234,107.17

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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.