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Finding the Fourth Proportional to 254,892.16, 382,313.49 and 77,400.73

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Solution

The fourth proportional to 254,892.16, 382,313.49 and 77,400.73 is: 116,093.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,892.16 : 382,313.49 = 77,400.73 : x
  2. Step 2: Convert to fraction form
    254,892.16/382,313.49 = 77,400.73/x
  3. Step 3: Cross multiply
    254,892.16x = 382,313.49 × 77,400.73
  4. Step 4: Simplify right side
    254,892.16x = 29,591,343,214.85
  5. Step 5: Solve for x
    x = 29,591,343,214.85/254,892.16
  6. Step 6: Final answer
    x = 116,093.58

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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.