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Finding the Fourth Proportional to 230,874.21, 346,836.87 and 167,029.34

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Solution

The fourth proportional to 230,874.21, 346,836.87 and 167,029.34 is: 250,924.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,874.21 : 346,836.87 = 167,029.34 : x
  2. Step 2: Convert to fraction form
    230,874.21/346,836.87 = 167,029.34/x
  3. Step 3: Cross multiply
    230,874.21x = 346,836.87 × 167,029.34
  4. Step 4: Simplify right side
    230,874.21x = 57,931,931,749.58
  5. Step 5: Solve for x
    x = 57,931,931,749.58/230,874.21
  6. Step 6: Final answer
    x = 250,924.22

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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.