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Finding the Fourth Proportional to 178,847, 268,311.96 and 52,482.08

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Solution

The fourth proportional to 178,847, 268,311.96 and 52,482.08 is: 78,735.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,847 : 268,311.96 = 52,482.08 : x
  2. Step 2: Convert to fraction form
    178,847/268,311.96 = 52,482.08/x
  3. Step 3: Cross multiply
    178,847x = 268,311.96 × 52,482.08
  4. Step 4: Simplify right side
    178,847x = 14,081,569,749.68
  5. Step 5: Solve for x
    x = 14,081,569,749.68/178,847
  6. Step 6: Final answer
    x = 78,735.29

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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.