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Finding the Fourth Proportional to 133,411.58, 200,102.58 and 33,571.80

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Solution

The fourth proportional to 133,411.58, 200,102.58 and 33,571.80 is: 50,353.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,411.58 : 200,102.58 = 33,571.80 : x
  2. Step 2: Convert to fraction form
    133,411.58/200,102.58 = 33,571.80/x
  3. Step 3: Cross multiply
    133,411.58x = 200,102.58 × 33,571.80
  4. Step 4: Simplify right side
    133,411.58x = 6,717,803,795.24
  5. Step 5: Solve for x
    x = 6,717,803,795.24/133,411.58
  6. Step 6: Final answer
    x = 50,353.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.