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Finding the Fourth Proportional to 187,544, 281,316 and 56,216

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Solution

The fourth proportional to 187,544, 281,316 and 56,216 is: 84,324

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,544 : 281,316 = 56,216 : x
  2. Step 2: Convert to fraction form
    187,544/281,316 = 56,216/x
  3. Step 3: Cross multiply
    187,544x = 281,316 × 56,216
  4. Step 4: Simplify right side
    187,544x = 15,814,460,256
  5. Step 5: Solve for x
    x = 15,814,460,256/187,544
  6. Step 6: Final answer
    x = 84,324

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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.