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Finding the Fourth Proportional to 167,564.42, 251,344.42 and 41,205.76

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Solution

The fourth proportional to 167,564.42, 251,344.42 and 41,205.76 is: 61,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,564.42 : 251,344.42 = 41,205.76 : x
  2. Step 2: Convert to fraction form
    167,564.42/251,344.42 = 41,205.76/x
  3. Step 3: Cross multiply
    167,564.42x = 251,344.42 × 41,205.76
  4. Step 4: Simplify right side
    167,564.42x = 10,356,837,847.86
  5. Step 5: Solve for x
    x = 10,356,837,847.86/167,564.42
  6. Step 6: Final answer
    x = 61,808.10

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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.