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Finding the Fourth Proportional to 187,246.30, 280,869.45 and 82,270.30

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Solution

The fourth proportional to 187,246.30, 280,869.45 and 82,270.30 is: 123,405.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,246.30 : 280,869.45 = 82,270.30 : x
  2. Step 2: Convert to fraction form
    187,246.30/280,869.45 = 82,270.30/x
  3. Step 3: Cross multiply
    187,246.30x = 280,869.45 × 82,270.30
  4. Step 4: Simplify right side
    187,246.30x = 23,107,213,912.34
  5. Step 5: Solve for x
    x = 23,107,213,912.34/187,246.30
  6. Step 6: Final answer
    x = 123,405.45

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1.5x scale

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.