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Finding the Fourth Proportional to 133,969.50, 200,894.04 and 96,372

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Solution

The fourth proportional to 133,969.50, 200,894.04 and 96,372 is: 144,514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,969.50 : 200,894.04 = 96,372 : x
  2. Step 2: Convert to fraction form
    133,969.50/200,894.04 = 96,372/x
  3. Step 3: Cross multiply
    133,969.50x = 200,894.04 × 96,372
  4. Step 4: Simplify right side
    133,969.50x = 19,360,560,422.88
  5. Step 5: Solve for x
    x = 19,360,560,422.88/133,969.50
  6. Step 6: Final answer
    x = 144,514.69

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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.