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Finding the Fourth Proportional to 262,436.44, 362,161.38 and 147,715

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Solution

The fourth proportional to 262,436.44, 362,161.38 and 147,715 is: 203,846.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,436.44 : 362,161.38 = 147,715 : x
  2. Step 2: Convert to fraction form
    262,436.44/362,161.38 = 147,715/x
  3. Step 3: Cross multiply
    262,436.44x = 362,161.38 × 147,715
  4. Step 4: Simplify right side
    262,436.44x = 53,496,668,246.70
  5. Step 5: Solve for x
    x = 53,496,668,246.70/262,436.44
  6. Step 6: Final answer
    x = 203,846.19

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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.