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Finding the Fourth Proportional to 355,996.28, 534,081.92 and 106,678.28

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Solution

The fourth proportional to 355,996.28, 534,081.92 and 106,678.28 is: 160,043.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,996.28 : 534,081.92 = 106,678.28 : x
  2. Step 2: Convert to fraction form
    355,996.28/534,081.92 = 106,678.28/x
  3. Step 3: Cross multiply
    355,996.28x = 534,081.92 × 106,678.28
  4. Step 4: Simplify right side
    355,996.28x = 56,974,940,604.70
  5. Step 5: Solve for x
    x = 56,974,940,604.70/355,996.28
  6. Step 6: Final answer
    x = 160,043.64

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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.