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Finding the Fourth Proportional to 135,604.75, 203,407.14 and 52,498.75

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Solution

The fourth proportional to 135,604.75, 203,407.14 and 52,498.75 is: 78,748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,604.75 : 203,407.14 = 52,498.75 : x
  2. Step 2: Convert to fraction form
    135,604.75/203,407.14 = 52,498.75/x
  3. Step 3: Cross multiply
    135,604.75x = 203,407.14 × 52,498.75
  4. Step 4: Simplify right side
    135,604.75x = 10,678,620,591.08
  5. Step 5: Solve for x
    x = 10,678,620,591.08/135,604.75
  6. Step 6: Final answer
    x = 78,748.13

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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.