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Finding the Fourth Proportional to 193,120, 289,667.04 and 52,879.84

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Solution

The fourth proportional to 193,120, 289,667.04 and 52,879.84 is: 79,316.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,120 : 289,667.04 = 52,879.84 : x
  2. Step 2: Convert to fraction form
    193,120/289,667.04 = 52,879.84/x
  3. Step 3: Cross multiply
    193,120x = 289,667.04 × 52,879.84
  4. Step 4: Simplify right side
    193,120x = 15,317,546,728.47
  5. Step 5: Solve for x
    x = 15,317,546,728.47/193,120
  6. Step 6: Final answer
    x = 79,316.21

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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.