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Finding the Fourth Proportional to 254,814.10, 382,219.80 and 65,274.10

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Solution

The fourth proportional to 254,814.10, 382,219.80 and 65,274.10 is: 97,910.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,814.10 : 382,219.80 = 65,274.10 : x
  2. Step 2: Convert to fraction form
    254,814.10/382,219.80 = 65,274.10/x
  3. Step 3: Cross multiply
    254,814.10x = 382,219.80 × 65,274.10
  4. Step 4: Simplify right side
    254,814.10x = 24,949,053,447.18
  5. Step 5: Solve for x
    x = 24,949,053,447.18/254,814.10
  6. Step 6: Final answer
    x = 97,910.80

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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.