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Finding the Fourth Proportional to 187,584, 281,376 and 56,256

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Solution

The fourth proportional to 187,584, 281,376 and 56,256 is: 84,384

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,584 : 281,376 = 56,256 : x
  2. Step 2: Convert to fraction form
    187,584/281,376 = 56,256/x
  3. Step 3: Cross multiply
    187,584x = 281,376 × 56,256
  4. Step 4: Simplify right side
    187,584x = 15,829,088,256
  5. Step 5: Solve for x
    x = 15,829,088,256/187,584
  6. Step 6: Final answer
    x = 84,384

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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.