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Finding the Fourth Proportional to 254,671.70, 382,007.14 and 67,683.20

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Solution

The fourth proportional to 254,671.70, 382,007.14 and 67,683.20 is: 101,524.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,671.70 : 382,007.14 = 67,683.20 : x
  2. Step 2: Convert to fraction form
    254,671.70/382,007.14 = 67,683.20/x
  3. Step 3: Cross multiply
    254,671.70x = 382,007.14 × 67,683.20
  4. Step 4: Simplify right side
    254,671.70x = 25,855,463,578.80
  5. Step 5: Solve for x
    x = 25,855,463,578.80/254,671.70
  6. Step 6: Final answer
    x = 101,524.68

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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.