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Finding the Fourth Proportional to 133,826.66, 200,565 and 54,848.42

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Solution

The fourth proportional to 133,826.66, 200,565 and 54,848.42 is: 82,200.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,826.66 : 200,565 = 54,848.42 : x
  2. Step 2: Convert to fraction form
    133,826.66/200,565 = 54,848.42/x
  3. Step 3: Cross multiply
    133,826.66x = 200,565 × 54,848.42
  4. Step 4: Simplify right side
    133,826.66x = 11,000,673,357.30
  5. Step 5: Solve for x
    x = 11,000,673,357.30/133,826.66
  6. Step 6: Final answer
    x = 82,200.91

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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.