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Finding the Fourth Proportional to 159,057.63, 238,580.21 and 53,876.60

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Solution

The fourth proportional to 159,057.63, 238,580.21 and 53,876.60 is: 80,812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,057.63 : 238,580.21 = 53,876.60 : x
  2. Step 2: Convert to fraction form
    159,057.63/238,580.21 = 53,876.60/x
  3. Step 3: Cross multiply
    159,057.63x = 238,580.21 × 53,876.60
  4. Step 4: Simplify right side
    159,057.63x = 12,853,889,483.88
  5. Step 5: Solve for x
    x = 12,853,889,483.88/159,057.63
  6. Step 6: Final answer
    x = 80,812.78

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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.