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Finding the Fourth Proportional to 182,271.96, 273,416.22 and 55,902.96

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Solution

The fourth proportional to 182,271.96, 273,416.22 and 55,902.96 is: 83,856.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,271.96 : 273,416.22 = 55,902.96 : x
  2. Step 2: Convert to fraction form
    182,271.96/273,416.22 = 55,902.96/x
  3. Step 3: Cross multiply
    182,271.96x = 273,416.22 × 55,902.96
  4. Step 4: Simplify right side
    182,271.96x = 15,284,776,010.01
  5. Step 5: Solve for x
    x = 15,284,776,010.01/182,271.96
  6. Step 6: Final answer
    x = 83,856.98

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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.