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Finding the Fourth Proportional to 135,818.38, 203,602.84 and 47,009.78

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Solution

The fourth proportional to 135,818.38, 203,602.84 and 47,009.78 is: 70,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,818.38 : 203,602.84 = 47,009.78 : x
  2. Step 2: Convert to fraction form
    135,818.38/203,602.84 = 47,009.78/x
  3. Step 3: Cross multiply
    135,818.38x = 203,602.84 × 47,009.78
  4. Step 4: Simplify right side
    135,818.38x = 9,571,324,520.03
  5. Step 5: Solve for x
    x = 9,571,324,520.03/135,818.38
  6. Step 6: Final answer
    x = 70,471.50

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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.