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Finding the Fourth Proportional to 204,157.37, 306,235.37 and 52,354.28

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Solution

The fourth proportional to 204,157.37, 306,235.37 and 52,354.28 is: 78,531.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,157.37 : 306,235.37 = 52,354.28 : x
  2. Step 2: Convert to fraction form
    204,157.37/306,235.37 = 52,354.28/x
  3. Step 3: Cross multiply
    204,157.37x = 306,235.37 × 52,354.28
  4. Step 4: Simplify right side
    204,157.37x = 16,032,733,203.36
  5. Step 5: Solve for x
    x = 16,032,733,203.36/204,157.37
  6. Step 6: Final answer
    x = 78,531.25

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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.