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Finding the Fourth Proportional to 334,181.56, 501,337.92 and 147,193

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Solution

The fourth proportional to 334,181.56, 501,337.92 and 147,193 is: 220,818.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,181.56 : 501,337.92 = 147,193 : x
  2. Step 2: Convert to fraction form
    334,181.56/501,337.92 = 147,193/x
  3. Step 3: Cross multiply
    334,181.56x = 501,337.92 × 147,193
  4. Step 4: Simplify right side
    334,181.56x = 73,793,432,458.56
  5. Step 5: Solve for x
    x = 73,793,432,458.56/334,181.56
  6. Step 6: Final answer
    x = 220,818.39

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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.