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Finding the Fourth Proportional to 205,561.46, 283,676.92 and 114,922.46

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Solution

The fourth proportional to 205,561.46, 283,676.92 and 114,922.46 is: 158,594.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,561.46 : 283,676.92 = 114,922.46 : x
  2. Step 2: Convert to fraction form
    205,561.46/283,676.92 = 114,922.46/x
  3. Step 3: Cross multiply
    205,561.46x = 283,676.92 × 114,922.46
  4. Step 4: Simplify right side
    205,561.46x = 32,600,849,491.62
  5. Step 5: Solve for x
    x = 32,600,849,491.62/205,561.46
  6. Step 6: Final answer
    x = 158,594.17

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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.