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Finding the Fourth Proportional to 262,829.70, 394,244.55 and 96,596.10

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Solution

The fourth proportional to 262,829.70, 394,244.55 and 96,596.10 is: 144,894.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,829.70 : 394,244.55 = 96,596.10 : x
  2. Step 2: Convert to fraction form
    262,829.70/394,244.55 = 96,596.10/x
  3. Step 3: Cross multiply
    262,829.70x = 394,244.55 × 96,596.10
  4. Step 4: Simplify right side
    262,829.70x = 38,082,485,976.26
  5. Step 5: Solve for x
    x = 38,082,485,976.26/262,829.70
  6. Step 6: Final answer
    x = 144,894.15

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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.