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Finding the Fourth Proportional to 283,915.32, 425,872.98 and 73,553.28

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Solution

The fourth proportional to 283,915.32, 425,872.98 and 73,553.28 is: 110,329.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,915.32 : 425,872.98 = 73,553.28 : x
  2. Step 2: Convert to fraction form
    283,915.32/425,872.98 = 73,553.28/x
  3. Step 3: Cross multiply
    283,915.32x = 425,872.98 × 73,553.28
  4. Step 4: Simplify right side
    283,915.32x = 31,324,354,542.37
  5. Step 5: Solve for x
    x = 31,324,354,542.37/283,915.32
  6. Step 6: Final answer
    x = 110,329.92

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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.