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Finding the Fourth Proportional to 187,546, 281,319 and 56,218

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Solution

The fourth proportional to 187,546, 281,319 and 56,218 is: 84,327

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,546 : 281,319 = 56,218 : x
  2. Step 2: Convert to fraction form
    187,546/281,319 = 56,218/x
  3. Step 3: Cross multiply
    187,546x = 281,319 × 56,218
  4. Step 4: Simplify right side
    187,546x = 15,815,191,542
  5. Step 5: Solve for x
    x = 15,815,191,542/187,546
  6. Step 6: Final answer
    x = 84,327

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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.