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Finding the Fourth Proportional to 262,952.70, 394,429.05 and 96,719.10

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Solution

The fourth proportional to 262,952.70, 394,429.05 and 96,719.10 is: 145,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,952.70 : 394,429.05 = 96,719.10 : x
  2. Step 2: Convert to fraction form
    262,952.70/394,429.05 = 96,719.10/x
  3. Step 3: Cross multiply
    262,952.70x = 394,429.05 × 96,719.10
  4. Step 4: Simplify right side
    262,952.70x = 38,148,822,729.86
  5. Step 5: Solve for x
    x = 38,148,822,729.86/262,952.70
  6. Step 6: Final answer
    x = 145,078.65

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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.