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Finding the Fourth Proportional to 196,527.70, 271,217.84 and 110,513.76

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Solution

The fourth proportional to 196,527.70, 271,217.84 and 110,513.76 is: 152,514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,527.70 : 271,217.84 = 110,513.76 : x
  2. Step 2: Convert to fraction form
    196,527.70/271,217.84 = 110,513.76/x
  3. Step 3: Cross multiply
    196,527.70x = 271,217.84 × 110,513.76
  4. Step 4: Simplify right side
    196,527.70x = 29,973,302,536.70
  5. Step 5: Solve for x
    x = 29,973,302,536.70/196,527.70
  6. Step 6: Final answer
    x = 152,514.39

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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.