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Finding the Fourth Proportional to 295,076.21, 407,239.72 and 167,770.94

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Solution

The fourth proportional to 295,076.21, 407,239.72 and 167,770.94 is: 231,543.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,076.21 : 407,239.72 = 167,770.94 : x
  2. Step 2: Convert to fraction form
    295,076.21/407,239.72 = 167,770.94/x
  3. Step 3: Cross multiply
    295,076.21x = 407,239.72 × 167,770.94
  4. Step 4: Simplify right side
    295,076.21x = 68,322,988,174.11
  5. Step 5: Solve for x
    x = 68,322,988,174.11/295,076.21
  6. Step 6: Final answer
    x = 231,543.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.