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Finding the Fourth Proportional to 135,952.50, 203,998 and 96,226.86

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Solution

The fourth proportional to 135,952.50, 203,998 and 96,226.86 is: 144,389.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,952.50 : 203,998 = 96,226.86 : x
  2. Step 2: Convert to fraction form
    135,952.50/203,998 = 96,226.86/x
  3. Step 3: Cross multiply
    135,952.50x = 203,998 × 96,226.86
  4. Step 4: Simplify right side
    135,952.50x = 19,630,086,986.28
  5. Step 5: Solve for x
    x = 19,630,086,986.28/135,952.50
  6. Step 6: Final answer
    x = 144,389.30

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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.