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Finding the Fourth Proportional to 133,539.63, 200,329.24 and 38,770.60

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Solution

The fourth proportional to 133,539.63, 200,329.24 and 38,770.60 is: 58,161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,539.63 : 200,329.24 = 38,770.60 : x
  2. Step 2: Convert to fraction form
    133,539.63/200,329.24 = 38,770.60/x
  3. Step 3: Cross multiply
    133,539.63x = 200,329.24 × 38,770.60
  4. Step 4: Simplify right side
    133,539.63x = 7,766,883,830.70
  5. Step 5: Solve for x
    x = 7,766,883,830.70/133,539.63
  6. Step 6: Final answer
    x = 58,161.64

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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.