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Finding the Fourth Proportional to 133,406.63, 200,110.01 and 54,520.77

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Solution

The fourth proportional to 133,406.63, 200,110.01 and 54,520.77 is: 81,781.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,406.63 : 200,110.01 = 54,520.77 : x
  2. Step 2: Convert to fraction form
    133,406.63/200,110.01 = 54,520.77/x
  3. Step 3: Cross multiply
    133,406.63x = 200,110.01 × 54,520.77
  4. Step 4: Simplify right side
    133,406.63x = 10,910,151,557.30
  5. Step 5: Solve for x
    x = 10,910,151,557.30/133,406.63
  6. Step 6: Final answer
    x = 81,781.18

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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.