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Finding the Fourth Proportional to 133,863.80, 200,814.50 and 39,100.94

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Solution

The fourth proportional to 133,863.80, 200,814.50 and 39,100.94 is: 58,656.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,863.80 : 200,814.50 = 39,100.94 : x
  2. Step 2: Convert to fraction form
    133,863.80/200,814.50 = 39,100.94/x
  3. Step 3: Cross multiply
    133,863.80x = 200,814.50 × 39,100.94
  4. Step 4: Simplify right side
    133,863.80x = 7,852,035,715.63
  5. Step 5: Solve for x
    x = 7,852,035,715.63/133,863.80
  6. Step 6: Final answer
    x = 58,656.90

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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.