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Finding the Fourth Proportional to 187,810.68, 281,807.16 and 82,616

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Solution

The fourth proportional to 187,810.68, 281,807.16 and 82,616 is: 123,964.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,810.68 : 281,807.16 = 82,616 : x
  2. Step 2: Convert to fraction form
    187,810.68/281,807.16 = 82,616/x
  3. Step 3: Cross multiply
    187,810.68x = 281,807.16 × 82,616
  4. Step 4: Simplify right side
    187,810.68x = 23,281,780,330.56
  5. Step 5: Solve for x
    x = 23,281,780,330.56/187,810.68
  6. Step 6: Final answer
    x = 123,964.09

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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.