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Finding the Fourth Proportional to 106,255.80, 159,404.73 and 30,354.99

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Solution

The fourth proportional to 106,255.80, 159,404.73 and 30,354.99 is: 45,538.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,255.80 : 159,404.73 = 30,354.99 : x
  2. Step 2: Convert to fraction form
    106,255.80/159,404.73 = 30,354.99/x
  3. Step 3: Cross multiply
    106,255.80x = 159,404.73 × 30,354.99
  4. Step 4: Simplify right side
    106,255.80x = 4,838,729,383.61
  5. Step 5: Solve for x
    x = 4,838,729,383.61/106,255.80
  6. Step 6: Final answer
    x = 45,538.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.