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Finding the Fourth Proportional to 301,186, 415,636.68 and 167,050

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Solution

The fourth proportional to 301,186, 415,636.68 and 167,050 is: 230,529

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,186 : 415,636.68 = 167,050 : x
  2. Step 2: Convert to fraction form
    301,186/415,636.68 = 167,050/x
  3. Step 3: Cross multiply
    301,186x = 415,636.68 × 167,050
  4. Step 4: Simplify right side
    301,186x = 69,432,107,394
  5. Step 5: Solve for x
    x = 69,432,107,394/301,186
  6. Step 6: Final answer
    x = 230,529

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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.