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Finding the Fourth Proportional to 182,234.56, 273,453.90 and 77,132.20

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Solution

The fourth proportional to 182,234.56, 273,453.90 and 77,132.20 is: 115,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,234.56 : 273,453.90 = 77,132.20 : x
  2. Step 2: Convert to fraction form
    182,234.56/273,453.90 = 77,132.20/x
  3. Step 3: Cross multiply
    182,234.56x = 273,453.90 × 77,132.20
  4. Step 4: Simplify right side
    182,234.56x = 21,092,100,905.58
  5. Step 5: Solve for x
    x = 21,092,100,905.58/182,234.56
  6. Step 6: Final answer
    x = 115,741.50

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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.