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Finding the Fourth Proportional to 106,227.96, 159,230.34 and 53,526.90

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Solution

The fourth proportional to 106,227.96, 159,230.34 and 53,526.90 is: 80,234.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,227.96 : 159,230.34 = 53,526.90 : x
  2. Step 2: Convert to fraction form
    106,227.96/159,230.34 = 53,526.90/x
  3. Step 3: Cross multiply
    106,227.96x = 159,230.34 × 53,526.90
  4. Step 4: Simplify right side
    106,227.96x = 8,523,106,486.15
  5. Step 5: Solve for x
    x = 8,523,106,486.15/106,227.96
  6. Step 6: Final answer
    x = 80,234.12

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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.