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Finding the Fourth Proportional to 166,477.71, 250,257.87 and 133,557.90

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Solution

The fourth proportional to 166,477.71, 250,257.87 and 133,557.90 is: 200,771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,477.71 : 250,257.87 = 133,557.90 : x
  2. Step 2: Convert to fraction form
    166,477.71/250,257.87 = 133,557.90/x
  3. Step 3: Cross multiply
    166,477.71x = 250,257.87 × 133,557.90
  4. Step 4: Simplify right side
    166,477.71x = 33,423,915,575.67
  5. Step 5: Solve for x
    x = 33,423,915,575.67/166,477.71
  6. Step 6: Final answer
    x = 200,771.12

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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.