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Finding the Fourth Proportional to 189,043, 283,563.52 and 55,923.96

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Solution

The fourth proportional to 189,043, 283,563.52 and 55,923.96 is: 83,885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,043 : 283,563.52 = 55,923.96 : x
  2. Step 2: Convert to fraction form
    189,043/283,563.52 = 55,923.96/x
  3. Step 3: Cross multiply
    189,043x = 283,563.52 × 55,923.96
  4. Step 4: Simplify right side
    189,043x = 15,857,994,949.94
  5. Step 5: Solve for x
    x = 15,857,994,949.94/189,043
  6. Step 6: Final answer
    x = 83,885.65

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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.