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Finding the Fourth Proportional to 262,968.04, 394,555.74 and 96,769

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Solution

The fourth proportional to 262,968.04, 394,555.74 and 96,769 is: 145,191.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,968.04 : 394,555.74 = 96,769 : x
  2. Step 2: Convert to fraction form
    262,968.04/394,555.74 = 96,769/x
  3. Step 3: Cross multiply
    262,968.04x = 394,555.74 × 96,769
  4. Step 4: Simplify right side
    262,968.04x = 38,180,764,404.06
  5. Step 5: Solve for x
    x = 38,180,764,404.06/262,968.04
  6. Step 6: Final answer
    x = 145,191.65

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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.