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Finding the Fourth Proportional to 130,593.34, 180,229.74 and 73,231.75

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Solution

The fourth proportional to 130,593.34, 180,229.74 and 73,231.75 is: 101,065.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,593.34 : 180,229.74 = 73,231.75 : x
  2. Step 2: Convert to fraction form
    130,593.34/180,229.74 = 73,231.75/x
  3. Step 3: Cross multiply
    130,593.34x = 180,229.74 × 73,231.75
  4. Step 4: Simplify right side
    130,593.34x = 13,198,539,262.25
  5. Step 5: Solve for x
    x = 13,198,539,262.25/130,593.34
  6. Step 6: Final answer
    x = 101,065.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.