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Finding the Fourth Proportional to 133,741.90, 200,690.61 and 54,912.70

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Solution

The fourth proportional to 133,741.90, 200,690.61 and 54,912.70 is: 82,400.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,741.90 : 200,690.61 = 54,912.70 : x
  2. Step 2: Convert to fraction form
    133,741.90/200,690.61 = 54,912.70/x
  3. Step 3: Cross multiply
    133,741.90x = 200,690.61 × 54,912.70
  4. Step 4: Simplify right side
    133,741.90x = 11,020,463,259.75
  5. Step 5: Solve for x
    x = 11,020,463,259.75/133,741.90
  6. Step 6: Final answer
    x = 82,400.98

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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.