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Finding the Fourth Proportional to 133,751.44, 200,727.96 and 49,590.82

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Solution

The fourth proportional to 133,751.44, 200,727.96 and 49,590.82 is: 74,423.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,751.44 : 200,727.96 = 49,590.82 : x
  2. Step 2: Convert to fraction form
    133,751.44/200,727.96 = 49,590.82/x
  3. Step 3: Cross multiply
    133,751.44x = 200,727.96 × 49,590.82
  4. Step 4: Simplify right side
    133,751.44x = 9,954,264,133.33
  5. Step 5: Solve for x
    x = 9,954,264,133.33/133,751.44
  6. Step 6: Final answer
    x = 74,423.60

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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.