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Finding the Fourth Proportional to 122,097.44, 183,262.80 and 75,441.44

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Solution

The fourth proportional to 122,097.44, 183,262.80 and 75,441.44 is: 113,234.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,097.44 : 183,262.80 = 75,441.44 : x
  2. Step 2: Convert to fraction form
    122,097.44/183,262.80 = 75,441.44/x
  3. Step 3: Cross multiply
    122,097.44x = 183,262.80 × 75,441.44
  4. Step 4: Simplify right side
    122,097.44x = 13,825,609,530.43
  5. Step 5: Solve for x
    x = 13,825,609,530.43/122,097.44
  6. Step 6: Final answer
    x = 113,234.23

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1.5x scale

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.