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Finding the Fourth Proportional to 254,983.88, 382,483.92 and 77,492.44

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Solution

The fourth proportional to 254,983.88, 382,483.92 and 77,492.44 is: 116,241.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,983.88 : 382,483.92 = 77,492.44 : x
  2. Step 2: Convert to fraction form
    254,983.88/382,483.92 = 77,492.44/x
  3. Step 3: Cross multiply
    254,983.88x = 382,483.92 × 77,492.44
  4. Step 4: Simplify right side
    254,983.88x = 29,639,612,221.56
  5. Step 5: Solve for x
    x = 29,639,612,221.56/254,983.88
  6. Step 6: Final answer
    x = 116,241.12

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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.