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Finding the Fourth Proportional to 135,957.67, 203,936.59 and 51,698.39

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Solution

The fourth proportional to 135,957.67, 203,936.59 and 51,698.39 is: 77,547.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,957.67 : 203,936.59 = 51,698.39 : x
  2. Step 2: Convert to fraction form
    135,957.67/203,936.59 = 51,698.39/x
  3. Step 3: Cross multiply
    135,957.67x = 203,936.59 × 51,698.39
  4. Step 4: Simplify right side
    135,957.67x = 10,543,192,119.23
  5. Step 5: Solve for x
    x = 10,543,192,119.23/135,957.67
  6. Step 6: Final answer
    x = 77,547.61

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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.