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Finding the Fourth Proportional to 179,312.68, 269,027.10 and 85,825

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Solution

The fourth proportional to 179,312.68, 269,027.10 and 85,825 is: 128,765.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,312.68 : 269,027.10 = 85,825 : x
  2. Step 2: Convert to fraction form
    179,312.68/269,027.10 = 85,825/x
  3. Step 3: Cross multiply
    179,312.68x = 269,027.10 × 85,825
  4. Step 4: Simplify right side
    179,312.68x = 23,089,250,857.50
  5. Step 5: Solve for x
    x = 23,089,250,857.50/179,312.68
  6. Step 6: Final answer
    x = 128,765.30

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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.