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Finding the Fourth Proportional to 182,494.56, 274,227.84 and 98,319.36

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Solution

The fourth proportional to 182,494.56, 274,227.84 and 98,319.36 is: 147,740.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,494.56 : 274,227.84 = 98,319.36 : x
  2. Step 2: Convert to fraction form
    182,494.56/274,227.84 = 98,319.36/x
  3. Step 3: Cross multiply
    182,494.56x = 274,227.84 × 98,319.36
  4. Step 4: Simplify right side
    182,494.56x = 26,961,905,722.98
  5. Step 5: Solve for x
    x = 26,961,905,722.98/182,494.56
  6. Step 6: Final answer
    x = 147,740.87

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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.