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Finding the Fourth Proportional to 283,205.16, 424,880.64 and 83,517.48

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Solution

The fourth proportional to 283,205.16, 424,880.64 and 83,517.48 is: 125,297.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,205.16 : 424,880.64 = 83,517.48 : x
  2. Step 2: Convert to fraction form
    283,205.16/424,880.64 = 83,517.48/x
  3. Step 3: Cross multiply
    283,205.16x = 424,880.64 × 83,517.48
  4. Step 4: Simplify right side
    283,205.16x = 35,484,960,353.59
  5. Step 5: Solve for x
    x = 35,484,960,353.59/283,205.16
  6. Step 6: Final answer
    x = 125,297.72

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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.