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Finding the Fourth Proportional to 258,451.36, 387,676.94 and 80,972.16

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Solution

The fourth proportional to 258,451.36, 387,676.94 and 80,972.16 is: 121,458.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,451.36 : 387,676.94 = 80,972.16 : x
  2. Step 2: Convert to fraction form
    258,451.36/387,676.94 = 80,972.16/x
  3. Step 3: Cross multiply
    258,451.36x = 387,676.94 × 80,972.16
  4. Step 4: Simplify right side
    258,451.36x = 31,391,037,355.34
  5. Step 5: Solve for x
    x = 31,391,037,355.34/258,451.36
  6. Step 6: Final answer
    x = 121,458.20

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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.