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Finding the Fourth Proportional to 313,151.12, 469,729.56 and 99,951.44

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Solution

The fourth proportional to 313,151.12, 469,729.56 and 99,951.44 is: 149,928.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,151.12 : 469,729.56 = 99,951.44 : x
  2. Step 2: Convert to fraction form
    313,151.12/469,729.56 = 99,951.44/x
  3. Step 3: Cross multiply
    313,151.12x = 469,729.56 × 99,951.44
  4. Step 4: Simplify right side
    313,151.12x = 46,950,145,932.57
  5. Step 5: Solve for x
    x = 46,950,145,932.57/313,151.12
  6. Step 6: Final answer
    x = 149,928.08

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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.