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Finding the Fourth Proportional to 254,834.22, 382,241.61 and 77,334.06

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Solution

The fourth proportional to 254,834.22, 382,241.61 and 77,334.06 is: 115,998.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,834.22 : 382,241.61 = 77,334.06 : x
  2. Step 2: Convert to fraction form
    254,834.22/382,241.61 = 77,334.06/x
  3. Step 3: Cross multiply
    254,834.22x = 382,241.61 × 77,334.06
  4. Step 4: Simplify right side
    254,834.22x = 29,560,295,602.24
  5. Step 5: Solve for x
    x = 29,560,295,602.24/254,834.22
  6. Step 6: Final answer
    x = 115,998.14

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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.