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Finding the Fourth Proportional to 167,438.16, 251,201.16 and 97,250.04

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Solution

The fourth proportional to 167,438.16, 251,201.16 and 97,250.04 is: 145,900.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,438.16 : 251,201.16 = 97,250.04 : x
  2. Step 2: Convert to fraction form
    167,438.16/251,201.16 = 97,250.04/x
  3. Step 3: Cross multiply
    167,438.16x = 251,201.16 × 97,250.04
  4. Step 4: Simplify right side
    167,438.16x = 24,429,322,858.05
  5. Step 5: Solve for x
    x = 24,429,322,858.05/167,438.16
  6. Step 6: Final answer
    x = 145,900.57

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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.