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Finding the Fourth Proportional to 258,505.20, 387,812.34 and 130,494.42

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Solution

The fourth proportional to 258,505.20, 387,812.34 and 130,494.42 is: 195,769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,505.20 : 387,812.34 = 130,494.42 : x
  2. Step 2: Convert to fraction form
    258,505.20/387,812.34 = 130,494.42/x
  3. Step 3: Cross multiply
    258,505.20x = 387,812.34 × 130,494.42
  4. Step 4: Simplify right side
    258,505.20x = 50,607,346,377.14
  5. Step 5: Solve for x
    x = 50,607,346,377.14/258,505.20
  6. Step 6: Final answer
    x = 195,769.16

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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.