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Finding the Fourth Proportional to 193,509.72, 290,376.72 and 81,180

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Solution

The fourth proportional to 193,509.72, 290,376.72 and 81,180 is: 121,817.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,509.72 : 290,376.72 = 81,180 : x
  2. Step 2: Convert to fraction form
    193,509.72/290,376.72 = 81,180/x
  3. Step 3: Cross multiply
    193,509.72x = 290,376.72 × 81,180
  4. Step 4: Simplify right side
    193,509.72x = 23,572,782,129.60
  5. Step 5: Solve for x
    x = 23,572,782,129.60/193,509.72
  6. Step 6: Final answer
    x = 121,817.04

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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.