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Finding the Fourth Proportional to 182,027.76, 273,041.64 and 71,142

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Solution

The fourth proportional to 182,027.76, 273,041.64 and 71,142 is: 106,713

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,027.76 : 273,041.64 = 71,142 : x
  2. Step 2: Convert to fraction form
    182,027.76/273,041.64 = 71,142/x
  3. Step 3: Cross multiply
    182,027.76x = 273,041.64 × 71,142
  4. Step 4: Simplify right side
    182,027.76x = 19,424,728,352.88
  5. Step 5: Solve for x
    x = 19,424,728,352.88/182,027.76
  6. Step 6: Final answer
    x = 106,713

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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.