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Finding the Fourth Proportional to 301,183.38, 415,642.05 and 167,044.50

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Solution

The fourth proportional to 301,183.38, 415,642.05 and 167,044.50 is: 230,526.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,183.38 : 415,642.05 = 167,044.50 : x
  2. Step 2: Convert to fraction form
    301,183.38/415,642.05 = 167,044.50/x
  3. Step 3: Cross multiply
    301,183.38x = 415,642.05 × 167,044.50
  4. Step 4: Simplify right side
    301,183.38x = 69,430,718,421.23
  5. Step 5: Solve for x
    x = 69,430,718,421.23/301,183.38
  6. Step 6: Final answer
    x = 230,526.39

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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.