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Finding the Fourth Proportional to 273,290.22, 409,855.32 and 104,797.98

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Solution

The fourth proportional to 273,290.22, 409,855.32 and 104,797.98 is: 157,166.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,290.22 : 409,855.32 = 104,797.98 : x
  2. Step 2: Convert to fraction form
    273,290.22/409,855.32 = 104,797.98/x
  3. Step 3: Cross multiply
    273,290.22x = 409,855.32 × 104,797.98
  4. Step 4: Simplify right side
    273,290.22x = 42,952,009,628.25
  5. Step 5: Solve for x
    x = 42,952,009,628.25/273,290.22
  6. Step 6: Final answer
    x = 157,166.29

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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.