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Finding the Fourth Proportional to 133,213.02, 199,814.90 and 33,374.06

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Solution

The fourth proportional to 133,213.02, 199,814.90 and 33,374.06 is: 50,059.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,213.02 : 199,814.90 = 33,374.06 : x
  2. Step 2: Convert to fraction form
    133,213.02/199,814.90 = 33,374.06/x
  3. Step 3: Cross multiply
    133,213.02x = 199,814.90 × 33,374.06
  4. Step 4: Simplify right side
    133,213.02x = 6,668,634,461.49
  5. Step 5: Solve for x
    x = 6,668,634,461.49/133,213.02
  6. Step 6: Final answer
    x = 50,059.93

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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.