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Finding the Fourth Proportional to 183,305.40, 274,739.40 and 164,497.20

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Solution

The fourth proportional to 183,305.40, 274,739.40 and 164,497.20 is: 246,549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,305.40 : 274,739.40 = 164,497.20 : x
  2. Step 2: Convert to fraction form
    183,305.40/274,739.40 = 164,497.20/x
  3. Step 3: Cross multiply
    183,305.40x = 274,739.40 × 164,497.20
  4. Step 4: Simplify right side
    183,305.40x = 45,193,862,029.68
  5. Step 5: Solve for x
    x = 45,193,862,029.68/183,305.40
  6. Step 6: Final answer
    x = 246,549.54

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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.