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Finding the Fourth Proportional to 135,872.84, 203,877 and 61,046.46

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Solution

The fourth proportional to 135,872.84, 203,877 and 61,046.46 is: 91,600.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,872.84 : 203,877 = 61,046.46 : x
  2. Step 2: Convert to fraction form
    135,872.84/203,877 = 61,046.46/x
  3. Step 3: Cross multiply
    135,872.84x = 203,877 × 61,046.46
  4. Step 4: Simplify right side
    135,872.84x = 12,445,969,125.42
  5. Step 5: Solve for x
    x = 12,445,969,125.42/135,872.84
  6. Step 6: Final answer
    x = 91,600.12

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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.