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Finding the Fourth Proportional to 187,562, 281,328.28 and 82,381.84

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Solution

The fourth proportional to 187,562, 281,328.28 and 82,381.84 is: 123,566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,562 : 281,328.28 = 82,381.84 : x
  2. Step 2: Convert to fraction form
    187,562/281,328.28 = 82,381.84/x
  3. Step 3: Cross multiply
    187,562x = 281,328.28 × 82,381.84
  4. Step 4: Simplify right side
    187,562x = 23,176,341,350.44
  5. Step 5: Solve for x
    x = 23,176,341,350.44/187,562
  6. Step 6: Final answer
    x = 123,566.29

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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.