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Finding the Fourth Proportional to 258,262.96, 387,416.70 and 71,274.46

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Solution

The fourth proportional to 258,262.96, 387,416.70 and 71,274.46 is: 106,917.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,262.96 : 387,416.70 = 71,274.46 : x
  2. Step 2: Convert to fraction form
    258,262.96/387,416.70 = 71,274.46/x
  3. Step 3: Cross multiply
    258,262.96x = 387,416.70 × 71,274.46
  4. Step 4: Simplify right side
    258,262.96x = 27,612,916,087.48
  5. Step 5: Solve for x
    x = 27,612,916,087.48/258,262.96
  6. Step 6: Final answer
    x = 106,917.83

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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.