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Finding the Fourth Proportional to 133,665.71, 200,498.83 and 54,765.77

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Solution

The fourth proportional to 133,665.71, 200,498.83 and 54,765.77 is: 82,148.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,665.71 : 200,498.83 = 54,765.77 : x
  2. Step 2: Convert to fraction form
    133,665.71/200,498.83 = 54,765.77/x
  3. Step 3: Cross multiply
    133,665.71x = 200,498.83 × 54,765.77
  4. Step 4: Simplify right side
    133,665.71x = 10,980,471,669.64
  5. Step 5: Solve for x
    x = 10,980,471,669.64/133,665.71
  6. Step 6: Final answer
    x = 82,148.76

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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.