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Finding the Fourth Proportional to 189,254.94, 283,833.96 and 56,104.08

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Solution

The fourth proportional to 189,254.94, 283,833.96 and 56,104.08 is: 84,141.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,254.94 : 283,833.96 = 56,104.08 : x
  2. Step 2: Convert to fraction form
    189,254.94/283,833.96 = 56,104.08/x
  3. Step 3: Cross multiply
    189,254.94x = 283,833.96 × 56,104.08
  4. Step 4: Simplify right side
    189,254.94x = 15,924,243,198.56
  5. Step 5: Solve for x
    x = 15,924,243,198.56/189,254.94
  6. Step 6: Final answer
    x = 84,141.76

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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.