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Finding the Fourth Proportional to 133,999.56, 200,738.04 and 74,656.52

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Solution

The fourth proportional to 133,999.56, 200,738.04 and 74,656.52 is: 111,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,999.56 : 200,738.04 = 74,656.52 : x
  2. Step 2: Convert to fraction form
    133,999.56/200,738.04 = 74,656.52/x
  3. Step 3: Cross multiply
    133,999.56x = 200,738.04 × 74,656.52
  4. Step 4: Simplify right side
    133,999.56x = 14,986,403,498.02
  5. Step 5: Solve for x
    x = 14,986,403,498.02/133,999.56
  6. Step 6: Final answer
    x = 111,839.20

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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.