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Finding the Fourth Proportional to 135,576.38, 187,052.60 and 78,207.98

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Solution

The fourth proportional to 135,576.38, 187,052.60 and 78,207.98 is: 107,902.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,576.38 : 187,052.60 = 78,207.98 : x
  2. Step 2: Convert to fraction form
    135,576.38/187,052.60 = 78,207.98/x
  3. Step 3: Cross multiply
    135,576.38x = 187,052.60 × 78,207.98
  4. Step 4: Simplify right side
    135,576.38x = 14,629,005,999.75
  5. Step 5: Solve for x
    x = 14,629,005,999.75/135,576.38
  6. Step 6: Final answer
    x = 107,902.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.