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Finding the Fourth Proportional to 254,662.29, 382,159.29 and 96,892.11

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Solution

The fourth proportional to 254,662.29, 382,159.29 and 96,892.11 is: 145,401.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,662.29 : 382,159.29 = 96,892.11 : x
  2. Step 2: Convert to fraction form
    254,662.29/382,159.29 = 96,892.11/x
  3. Step 3: Cross multiply
    254,662.29x = 382,159.29 × 96,892.11
  4. Step 4: Simplify right side
    254,662.29x = 37,028,219,964.20
  5. Step 5: Solve for x
    x = 37,028,219,964.20/254,662.29
  6. Step 6: Final answer
    x = 145,401.27

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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.