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Finding the Fourth Proportional to 162,182.92, 223,917.74 and 145,157.64

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Solution

The fourth proportional to 162,182.92, 223,917.74 and 145,157.64 is: 200,411.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,182.92 : 223,917.74 = 145,157.64 : x
  2. Step 2: Convert to fraction form
    162,182.92/223,917.74 = 145,157.64/x
  3. Step 3: Cross multiply
    162,182.92x = 223,917.74 × 145,157.64
  4. Step 4: Simplify right side
    162,182.92x = 32,503,370,692.53
  5. Step 5: Solve for x
    x = 32,503,370,692.53/162,182.92
  6. Step 6: Final answer
    x = 200,411.80

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Why These Related Problems?

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