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Finding the Fourth Proportional to 162,914.32, 244,431.96 and 52,114.96

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Solution

The fourth proportional to 162,914.32, 244,431.96 and 52,114.96 is: 78,191.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,914.32 : 244,431.96 = 52,114.96 : x
  2. Step 2: Convert to fraction form
    162,914.32/244,431.96 = 52,114.96/x
  3. Step 3: Cross multiply
    162,914.32x = 244,431.96 × 52,114.96
  4. Step 4: Simplify right side
    162,914.32x = 12,738,561,818.12
  5. Step 5: Solve for x
    x = 12,738,561,818.12/162,914.32
  6. Step 6: Final answer
    x = 78,191.79

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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.