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Finding the Fourth Proportional to 262,659.96, 394,028.82 and 96,435

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Solution

The fourth proportional to 262,659.96, 394,028.82 and 96,435 is: 144,666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,659.96 : 394,028.82 = 96,435 : x
  2. Step 2: Convert to fraction form
    262,659.96/394,028.82 = 96,435/x
  3. Step 3: Cross multiply
    262,659.96x = 394,028.82 × 96,435
  4. Step 4: Simplify right side
    262,659.96x = 37,998,169,256.70
  5. Step 5: Solve for x
    x = 37,998,169,256.70/262,659.96
  6. Step 6: Final answer
    x = 144,666.77

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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.