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Finding the Fourth Proportional to 196,674, 271,433.28 and 111,803.76

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Solution

The fourth proportional to 196,674, 271,433.28 and 111,803.76 is: 154,302.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,674 : 271,433.28 = 111,803.76 : x
  2. Step 2: Convert to fraction form
    196,674/271,433.28 = 111,803.76/x
  3. Step 3: Cross multiply
    196,674x = 271,433.28 × 111,803.76
  4. Step 4: Simplify right side
    196,674x = 30,347,261,293.13
  5. Step 5: Solve for x
    x = 30,347,261,293.13/196,674
  6. Step 6: Final answer
    x = 154,302.35

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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.