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Finding the Fourth Proportional to 135,221.80, 202,443.90 and 82,733.80

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Solution

The fourth proportional to 135,221.80, 202,443.90 and 82,733.80 is: 123,862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,221.80 : 202,443.90 = 82,733.80 : x
  2. Step 2: Convert to fraction form
    135,221.80/202,443.90 = 82,733.80/x
  3. Step 3: Cross multiply
    135,221.80x = 202,443.90 × 82,733.80
  4. Step 4: Simplify right side
    135,221.80x = 16,748,953,133.82
  5. Step 5: Solve for x
    x = 16,748,953,133.82/135,221.80
  6. Step 6: Final answer
    x = 123,862.82

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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.