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Finding the Fourth Proportional to 204,995.80, 282,780.48 and 120,096.46

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Solution

The fourth proportional to 204,995.80, 282,780.48 and 120,096.46 is: 165,666.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,995.80 : 282,780.48 = 120,096.46 : x
  2. Step 2: Convert to fraction form
    204,995.80/282,780.48 = 120,096.46/x
  3. Step 3: Cross multiply
    204,995.80x = 282,780.48 × 120,096.46
  4. Step 4: Simplify right side
    204,995.80x = 33,960,934,605.10
  5. Step 5: Solve for x
    x = 33,960,934,605.10/204,995.80
  6. Step 6: Final answer
    x = 165,666.49

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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.