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Finding the Fourth Proportional to 161,550.56, 242,364.16 and 50,742.56

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Solution

The fourth proportional to 161,550.56, 242,364.16 and 50,742.56 is: 76,125.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,550.56 : 242,364.16 = 50,742.56 : x
  2. Step 2: Convert to fraction form
    161,550.56/242,364.16 = 50,742.56/x
  3. Step 3: Cross multiply
    161,550.56x = 242,364.16 × 50,742.56
  4. Step 4: Simplify right side
    161,550.56x = 12,298,177,930.65
  5. Step 5: Solve for x
    x = 12,298,177,930.65/161,550.56
  6. Step 6: Final answer
    x = 76,125.88

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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.