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Finding the Fourth Proportional to 133,213.09, 199,814.14 and 74,011

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Solution

The fourth proportional to 133,213.09, 199,814.14 and 74,011 is: 111,013.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,213.09 : 199,814.14 = 74,011 : x
  2. Step 2: Convert to fraction form
    133,213.09/199,814.14 = 74,011/x
  3. Step 3: Cross multiply
    133,213.09x = 199,814.14 × 74,011
  4. Step 4: Simplify right side
    133,213.09x = 14,788,444,315.54
  5. Step 5: Solve for x
    x = 14,788,444,315.54/133,213.09
  6. Step 6: Final answer
    x = 111,013.45

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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.