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Finding the Fourth Proportional to 242,609.56, 363,120.63 and 178,550.50

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Solution

The fourth proportional to 242,609.56, 363,120.63 and 178,550.50 is: 267,241.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,609.56 : 363,120.63 = 178,550.50 : x
  2. Step 2: Convert to fraction form
    242,609.56/363,120.63 = 178,550.50/x
  3. Step 3: Cross multiply
    242,609.56x = 363,120.63 × 178,550.50
  4. Step 4: Simplify right side
    242,609.56x = 64,835,370,046.82
  5. Step 5: Solve for x
    x = 64,835,370,046.82/242,609.56
  6. Step 6: Final answer
    x = 267,241.61

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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.