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Finding the Fourth Proportional to 255,230.43, 382,845.77 and 105,305.94

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Solution

The fourth proportional to 255,230.43, 382,845.77 and 105,305.94 is: 157,958.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,230.43 : 382,845.77 = 105,305.94 : x
  2. Step 2: Convert to fraction form
    255,230.43/382,845.77 = 105,305.94/x
  3. Step 3: Cross multiply
    255,230.43x = 382,845.77 × 105,305.94
  4. Step 4: Simplify right side
    255,230.43x = 40,315,933,158.34
  5. Step 5: Solve for x
    x = 40,315,933,158.34/255,230.43
  6. Step 6: Final answer
    x = 157,958.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.