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Finding the Fourth Proportional to 136,563.46, 204,847.07 and 52,327.88

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Solution

The fourth proportional to 136,563.46, 204,847.07 and 52,327.88 is: 78,492.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,563.46 : 204,847.07 = 52,327.88 : x
  2. Step 2: Convert to fraction form
    136,563.46/204,847.07 = 52,327.88/x
  3. Step 3: Cross multiply
    136,563.46x = 204,847.07 × 52,327.88
  4. Step 4: Simplify right side
    136,563.46x = 10,719,212,897.31
  5. Step 5: Solve for x
    x = 10,719,212,897.31/136,563.46
  6. Step 6: Final answer
    x = 78,492.54

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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.