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Finding the Fourth Proportional to 106,404.30, 159,533.55 and 50,271.30

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Solution

The fourth proportional to 106,404.30, 159,533.55 and 50,271.30 is: 75,372.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,404.30 : 159,533.55 = 50,271.30 : x
  2. Step 2: Convert to fraction form
    106,404.30/159,533.55 = 50,271.30/x
  3. Step 3: Cross multiply
    106,404.30x = 159,533.55 × 50,271.30
  4. Step 4: Simplify right side
    106,404.30x = 8,019,958,952.12
  5. Step 5: Solve for x
    x = 8,019,958,952.12/106,404.30
  6. Step 6: Final answer
    x = 75,372.51

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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.