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Finding the Fourth Proportional to 262,668.96, 394,042.32 and 96,444

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Solution

The fourth proportional to 262,668.96, 394,042.32 and 96,444 is: 144,680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,668.96 : 394,042.32 = 96,444 : x
  2. Step 2: Convert to fraction form
    262,668.96/394,042.32 = 96,444/x
  3. Step 3: Cross multiply
    262,668.96x = 394,042.32 × 96,444
  4. Step 4: Simplify right side
    262,668.96x = 38,003,017,510.08
  5. Step 5: Solve for x
    x = 38,003,017,510.08/262,668.96
  6. Step 6: Final answer
    x = 144,680.28

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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.