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Finding the Fourth Proportional to 254,697.48, 382,024.22 and 86,214.20

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Solution

The fourth proportional to 254,697.48, 382,024.22 and 86,214.20 is: 129,313.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,697.48 : 382,024.22 = 86,214.20 : x
  2. Step 2: Convert to fraction form
    254,697.48/382,024.22 = 86,214.20/x
  3. Step 3: Cross multiply
    254,697.48x = 382,024.22 × 86,214.20
  4. Step 4: Simplify right side
    254,697.48x = 32,935,910,166.73
  5. Step 5: Solve for x
    x = 32,935,910,166.73/254,697.48
  6. Step 6: Final answer
    x = 129,313.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.