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Finding the Fourth Proportional to 258,212.24, 387,337.68 and 71,222

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Solution

The fourth proportional to 258,212.24, 387,337.68 and 71,222 is: 106,838.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,212.24 : 387,337.68 = 71,222 : x
  2. Step 2: Convert to fraction form
    258,212.24/387,337.68 = 71,222/x
  3. Step 3: Cross multiply
    258,212.24x = 387,337.68 × 71,222
  4. Step 4: Simplify right side
    258,212.24x = 27,586,964,244.96
  5. Step 5: Solve for x
    x = 27,586,964,244.96/258,212.24
  6. Step 6: Final answer
    x = 106,838.33

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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.