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Finding the Fourth Proportional to 339,199.96, 508,851.87 and 111,424

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Solution

The fourth proportional to 339,199.96, 508,851.87 and 111,424 is: 167,153.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,199.96 : 508,851.87 = 111,424 : x
  2. Step 2: Convert to fraction form
    339,199.96/508,851.87 = 111,424/x
  3. Step 3: Cross multiply
    339,199.96x = 508,851.87 × 111,424
  4. Step 4: Simplify right side
    339,199.96x = 56,698,310,762.88
  5. Step 5: Solve for x
    x = 56,698,310,762.88/339,199.96
  6. Step 6: Final answer
    x = 167,153.06

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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.