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Finding the Fourth Proportional to 199,182, 274,876.92 and 109,763.76

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Solution

The fourth proportional to 199,182, 274,876.92 and 109,763.76 is: 151,477.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,182 : 274,876.92 = 109,763.76 : x
  2. Step 2: Convert to fraction form
    199,182/274,876.92 = 109,763.76/x
  3. Step 3: Cross multiply
    199,182x = 274,876.92 × 109,763.76
  4. Step 4: Simplify right side
    199,182x = 30,171,524,276.42
  5. Step 5: Solve for x
    x = 30,171,524,276.42/199,182
  6. Step 6: Final answer
    x = 151,477.16

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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.