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Finding the Fourth Proportional to 188,222, 282,333 and 56,894

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Solution

The fourth proportional to 188,222, 282,333 and 56,894 is: 85,341

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,222 : 282,333 = 56,894 : x
  2. Step 2: Convert to fraction form
    188,222/282,333 = 56,894/x
  3. Step 3: Cross multiply
    188,222x = 282,333 × 56,894
  4. Step 4: Simplify right side
    188,222x = 16,063,053,702
  5. Step 5: Solve for x
    x = 16,063,053,702/188,222
  6. Step 6: Final answer
    x = 85,341

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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.