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Finding the Fourth Proportional to 254,125.89, 380,940.97 and 120,970.39

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Solution

The fourth proportional to 254,125.89, 380,940.97 and 120,970.39 is: 181,337.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,125.89 : 380,940.97 = 120,970.39 : x
  2. Step 2: Convert to fraction form
    254,125.89/380,940.97 = 120,970.39/x
  3. Step 3: Cross multiply
    254,125.89x = 380,940.97 × 120,970.39
  4. Step 4: Simplify right side
    254,125.89x = 46,082,577,707.88
  5. Step 5: Solve for x
    x = 46,082,577,707.88/254,125.89
  6. Step 6: Final answer
    x = 181,337.59

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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.