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Finding the Fourth Proportional to 182,340.72, 273,520.80 and 57,672

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Solution

The fourth proportional to 182,340.72, 273,520.80 and 57,672 is: 86,511.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,340.72 : 273,520.80 = 57,672 : x
  2. Step 2: Convert to fraction form
    182,340.72/273,520.80 = 57,672/x
  3. Step 3: Cross multiply
    182,340.72x = 273,520.80 × 57,672
  4. Step 4: Simplify right side
    182,340.72x = 15,774,491,577.60
  5. Step 5: Solve for x
    x = 15,774,491,577.60/182,340.72
  6. Step 6: Final answer
    x = 86,511.07

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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.