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Finding the Fourth Proportional to 162,439.82, 243,682.59 and 50,129.15

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Solution

The fourth proportional to 162,439.82, 243,682.59 and 50,129.15 is: 75,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,439.82 : 243,682.59 = 50,129.15 : x
  2. Step 2: Convert to fraction form
    162,439.82/243,682.59 = 50,129.15/x
  3. Step 3: Cross multiply
    162,439.82x = 243,682.59 × 50,129.15
  4. Step 4: Simplify right side
    162,439.82x = 12,215,601,106.50
  5. Step 5: Solve for x
    x = 12,215,601,106.50/162,439.82
  6. Step 6: Final answer
    x = 75,200.78

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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.