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Finding the Fourth Proportional to 133,770.25, 200,633.50 and 40,254.13

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Solution

The fourth proportional to 133,770.25, 200,633.50 and 40,254.13 is: 60,374.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,770.25 : 200,633.50 = 40,254.13 : x
  2. Step 2: Convert to fraction form
    133,770.25/200,633.50 = 40,254.13/x
  3. Step 3: Cross multiply
    133,770.25x = 200,633.50 × 40,254.13
  4. Step 4: Simplify right side
    133,770.25x = 8,076,326,991.36
  5. Step 5: Solve for x
    x = 8,076,326,991.36/133,770.25
  6. Step 6: Final answer
    x = 60,374.61

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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.