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Finding the Fourth Proportional to 133,642.00, 200,322.62 and 49,348.44

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Solution

The fourth proportional to 133,642.00, 200,322.62 and 49,348.44 is: 73,970.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,642.00 : 200,322.62 = 49,348.44 : x
  2. Step 2: Convert to fraction form
    133,642.00/200,322.62 = 49,348.44/x
  3. Step 3: Cross multiply
    133,642.00x = 200,322.62 × 49,348.44
  4. Step 4: Simplify right side
    133,642.00x = 9,885,608,732.03
  5. Step 5: Solve for x
    x = 9,885,608,732.03/133,642.00
  6. Step 6: Final answer
    x = 73,970.82

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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.