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Finding the Fourth Proportional to 135,200.30, 202,411.65 and 82,712.30

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Solution

The fourth proportional to 135,200.30, 202,411.65 and 82,712.30 is: 123,830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,200.30 : 202,411.65 = 82,712.30 : x
  2. Step 2: Convert to fraction form
    135,200.30/202,411.65 = 82,712.30/x
  3. Step 3: Cross multiply
    135,200.30x = 202,411.65 × 82,712.30
  4. Step 4: Simplify right side
    135,200.30x = 16,741,933,118.30
  5. Step 5: Solve for x
    x = 16,741,933,118.30/135,200.30
  6. Step 6: Final answer
    x = 123,830.59

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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.