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Finding the Fourth Proportional to 436,205.97, 654,309.18 and 136,709.88

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Solution

The fourth proportional to 436,205.97, 654,309.18 and 136,709.88 is: 205,064.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,205.97 : 654,309.18 = 136,709.88 : x
  2. Step 2: Convert to fraction form
    436,205.97/654,309.18 = 136,709.88/x
  3. Step 3: Cross multiply
    436,205.97x = 654,309.18 × 136,709.88
  4. Step 4: Simplify right side
    436,205.97x = 89,450,527,411.54
  5. Step 5: Solve for x
    x = 89,450,527,411.54/436,205.97
  6. Step 6: Final answer
    x = 205,064.89

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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.