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Finding the Fourth Proportional to 106,653.66, 160,027.20 and 50,533.83

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Solution

The fourth proportional to 106,653.66, 160,027.20 and 50,533.83 is: 75,822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,653.66 : 160,027.20 = 50,533.83 : x
  2. Step 2: Convert to fraction form
    106,653.66/160,027.20 = 50,533.83/x
  3. Step 3: Cross multiply
    106,653.66x = 160,027.20 × 50,533.83
  4. Step 4: Simplify right side
    106,653.66x = 8,086,787,320.18
  5. Step 5: Solve for x
    x = 8,086,787,320.18/106,653.66
  6. Step 6: Final answer
    x = 75,822.88

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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.