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Finding the Fourth Proportional to 262,853.28, 362,737.17 and 149,676.03

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Solution

The fourth proportional to 262,853.28, 362,737.17 and 149,676.03 is: 206,552.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,853.28 : 362,737.17 = 149,676.03 : x
  2. Step 2: Convert to fraction form
    262,853.28/362,737.17 = 149,676.03/x
  3. Step 3: Cross multiply
    262,853.28x = 362,737.17 × 149,676.03
  4. Step 4: Simplify right side
    262,853.28x = 54,293,059,539.04
  5. Step 5: Solve for x
    x = 54,293,059,539.04/262,853.28
  6. Step 6: Final answer
    x = 206,552.72

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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.