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Finding the Fourth Proportional to 254,834.10, 382,249.80 and 65,294.10

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Solution

The fourth proportional to 254,834.10, 382,249.80 and 65,294.10 is: 97,940.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,834.10 : 382,249.80 = 65,294.10 : x
  2. Step 2: Convert to fraction form
    254,834.10/382,249.80 = 65,294.10/x
  3. Step 3: Cross multiply
    254,834.10x = 382,249.80 × 65,294.10
  4. Step 4: Simplify right side
    254,834.10x = 24,958,656,666.18
  5. Step 5: Solve for x
    x = 24,958,656,666.18/254,834.10
  6. Step 6: Final answer
    x = 97,940.80

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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.