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Finding the Fourth Proportional to 188,002, 282,003 and 56,674

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Solution

The fourth proportional to 188,002, 282,003 and 56,674 is: 85,011

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,002 : 282,003 = 56,674 : x
  2. Step 2: Convert to fraction form
    188,002/282,003 = 56,674/x
  3. Step 3: Cross multiply
    188,002x = 282,003 × 56,674
  4. Step 4: Simplify right side
    188,002x = 15,982,238,022
  5. Step 5: Solve for x
    x = 15,982,238,022/188,002
  6. Step 6: Final answer
    x = 85,011

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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.