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Finding the Fourth Proportional to 179,507.52, 269,261.28 and 54,847.44

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Solution

The fourth proportional to 179,507.52, 269,261.28 and 54,847.44 is: 82,271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,507.52 : 269,261.28 = 54,847.44 : x
  2. Step 2: Convert to fraction form
    179,507.52/269,261.28 = 54,847.44/x
  3. Step 3: Cross multiply
    179,507.52x = 269,261.28 × 54,847.44
  4. Step 4: Simplify right side
    179,507.52x = 14,768,291,899.12
  5. Step 5: Solve for x
    x = 14,768,291,899.12/179,507.52
  6. Step 6: Final answer
    x = 82,271.16

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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.