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Finding the Fourth Proportional to 189,101.58, 283,711.83 and 55,983

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Solution

The fourth proportional to 189,101.58, 283,711.83 and 55,983 is: 83,992.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,101.58 : 283,711.83 = 55,983 : x
  2. Step 2: Convert to fraction form
    189,101.58/283,711.83 = 55,983/x
  3. Step 3: Cross multiply
    189,101.58x = 283,711.83 × 55,983
  4. Step 4: Simplify right side
    189,101.58x = 15,883,039,378.89
  5. Step 5: Solve for x
    x = 15,883,039,378.89/189,101.58
  6. Step 6: Final answer
    x = 83,992.10

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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.