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Finding the Fourth Proportional to 133,224.09, 199,830.65 and 74,022

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Solution

The fourth proportional to 133,224.09, 199,830.65 and 74,022 is: 111,029.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,224.09 : 199,830.65 = 74,022 : x
  2. Step 2: Convert to fraction form
    133,224.09/199,830.65 = 74,022/x
  3. Step 3: Cross multiply
    133,224.09x = 199,830.65 × 74,022
  4. Step 4: Simplify right side
    133,224.09x = 14,791,864,004.19
  5. Step 5: Solve for x
    x = 14,791,864,004.19/133,224.09
  6. Step 6: Final answer
    x = 111,029.95

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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.