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Finding the Fourth Proportional to 133,823.80, 200,565.60 and 54,848.80

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Solution

The fourth proportional to 133,823.80, 200,565.60 and 54,848.80 is: 82,203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,823.80 : 200,565.60 = 54,848.80 : x
  2. Step 2: Convert to fraction form
    133,823.80/200,565.60 = 54,848.80/x
  3. Step 3: Cross multiply
    133,823.80x = 200,565.60 × 54,848.80
  4. Step 4: Simplify right side
    133,823.80x = 11,000,782,481.28
  5. Step 5: Solve for x
    x = 11,000,782,481.28/133,823.80
  6. Step 6: Final answer
    x = 82,203.48

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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.