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Finding the Fourth Proportional to 133,758.54, 200,667.78 and 40,271.58

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Solution

The fourth proportional to 133,758.54, 200,667.78 and 40,271.58 is: 60,416.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,758.54 : 200,667.78 = 40,271.58 : x
  2. Step 2: Convert to fraction form
    133,758.54/200,667.78 = 40,271.58/x
  3. Step 3: Cross multiply
    133,758.54x = 200,667.78 × 40,271.58
  4. Step 4: Simplify right side
    133,758.54x = 8,081,208,555.69
  5. Step 5: Solve for x
    x = 8,081,208,555.69/133,758.54
  6. Step 6: Final answer
    x = 60,416.39

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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.