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Finding the Fourth Proportional to 187,203.80, 280,805.70 and 82,227.80

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Solution

The fourth proportional to 187,203.80, 280,805.70 and 82,227.80 is: 123,341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,203.80 : 280,805.70 = 82,227.80 : x
  2. Step 2: Convert to fraction form
    187,203.80/280,805.70 = 82,227.80/x
  3. Step 3: Cross multiply
    187,203.80x = 280,805.70 × 82,227.80
  4. Step 4: Simplify right side
    187,203.80x = 23,090,034,938.46
  5. Step 5: Solve for x
    x = 23,090,034,938.46/187,203.80
  6. Step 6: Final answer
    x = 123,341.70

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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.