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Finding the Fourth Proportional to 254,697.24, 382,023.84 and 86,213.94

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Solution

The fourth proportional to 254,697.24, 382,023.84 and 86,213.94 is: 129,313.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,697.24 : 382,023.84 = 86,213.94 : x
  2. Step 2: Convert to fraction form
    254,697.24/382,023.84 = 86,213.94/x
  3. Step 3: Cross multiply
    254,697.24x = 382,023.84 × 86,213.94
  4. Step 4: Simplify right side
    254,697.24x = 32,935,780,420.33
  5. Step 5: Solve for x
    x = 32,935,780,420.33/254,697.24
  6. Step 6: Final answer
    x = 129,313.46

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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.