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Finding the Fourth Proportional to 262,692.72, 362,518.74 and 149,516.28

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Solution

The fourth proportional to 262,692.72, 362,518.74 and 149,516.28 is: 206,334.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,692.72 : 362,518.74 = 149,516.28 : x
  2. Step 2: Convert to fraction form
    262,692.72/362,518.74 = 149,516.28/x
  3. Step 3: Cross multiply
    262,692.72x = 362,518.74 × 149,516.28
  4. Step 4: Simplify right side
    262,692.72x = 54,202,453,435.09
  5. Step 5: Solve for x
    x = 54,202,453,435.09/262,692.72
  6. Step 6: Final answer
    x = 206,334.05

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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.