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Finding the Fourth Proportional to 214,474.72, 295,983 and 129,575.32

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Solution

The fourth proportional to 214,474.72, 295,983 and 129,575.32 is: 178,818.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,474.72 : 295,983 = 129,575.32 : x
  2. Step 2: Convert to fraction form
    214,474.72/295,983 = 129,575.32/x
  3. Step 3: Cross multiply
    214,474.72x = 295,983 × 129,575.32
  4. Step 4: Simplify right side
    214,474.72x = 38,352,091,939.56
  5. Step 5: Solve for x
    x = 38,352,091,939.56/214,474.72
  6. Step 6: Final answer
    x = 178,818.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.