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Finding the Fourth Proportional to 196,832.76, 271,619.20 and 111,948

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Solution

The fourth proportional to 196,832.76, 271,619.20 and 111,948 is: 154,482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,832.76 : 271,619.20 = 111,948 : x
  2. Step 2: Convert to fraction form
    196,832.76/271,619.20 = 111,948/x
  3. Step 3: Cross multiply
    196,832.76x = 271,619.20 × 111,948
  4. Step 4: Simplify right side
    196,832.76x = 30,407,226,201.60
  5. Step 5: Solve for x
    x = 30,407,226,201.60/196,832.76
  6. Step 6: Final answer
    x = 154,482.55

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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.