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Finding the Fourth Proportional to 133,194.57, 199,865.66 and 54,302.69

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Solution

The fourth proportional to 133,194.57, 199,865.66 and 54,302.69 is: 81,484.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,194.57 : 199,865.66 = 54,302.69 : x
  2. Step 2: Convert to fraction form
    133,194.57/199,865.66 = 54,302.69/x
  3. Step 3: Cross multiply
    133,194.57x = 199,865.66 × 54,302.69
  4. Step 4: Simplify right side
    133,194.57x = 10,853,242,976.63
  5. Step 5: Solve for x
    x = 10,853,242,976.63/133,194.57
  6. Step 6: Final answer
    x = 81,484.12

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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.