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Finding the Fourth Proportional to 104,082.90, 156,124.74 and 25,197

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Solution

The fourth proportional to 104,082.90, 156,124.74 and 25,197 is: 37,795.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,082.90 : 156,124.74 = 25,197 : x
  2. Step 2: Convert to fraction form
    104,082.90/156,124.74 = 25,197/x
  3. Step 3: Cross multiply
    104,082.90x = 156,124.74 × 25,197
  4. Step 4: Simplify right side
    104,082.90x = 3,933,875,073.78
  5. Step 5: Solve for x
    x = 3,933,875,073.78/104,082.90
  6. Step 6: Final answer
    x = 37,795.59

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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.