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Finding the Fourth Proportional to 187,209.80, 280,814.70 and 82,233.80

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Solution

The fourth proportional to 187,209.80, 280,814.70 and 82,233.80 is: 123,350.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,209.80 : 280,814.70 = 82,233.80 : x
  2. Step 2: Convert to fraction form
    187,209.80/280,814.70 = 82,233.80/x
  3. Step 3: Cross multiply
    187,209.80x = 280,814.70 × 82,233.80
  4. Step 4: Simplify right side
    187,209.80x = 23,092,459,876.86
  5. Step 5: Solve for x
    x = 23,092,459,876.86/187,209.80
  6. Step 6: Final answer
    x = 123,350.70

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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.