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Finding the Fourth Proportional to 238,104.41, 357,191.47 and 111,757.49

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Solution

The fourth proportional to 238,104.41, 357,191.47 and 111,757.49 is: 167,652.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,104.41 : 357,191.47 = 111,757.49 : x
  2. Step 2: Convert to fraction form
    238,104.41/357,191.47 = 111,757.49/x
  3. Step 3: Cross multiply
    238,104.41x = 357,191.47 × 111,757.49
  4. Step 4: Simplify right side
    238,104.41x = 39,918,821,829.82
  5. Step 5: Solve for x
    x = 39,918,821,829.82/238,104.41
  6. Step 6: Final answer
    x = 167,652.59

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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.