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Finding the Fourth Proportional to 189,253.44, 283,881.21 and 56,134.69

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Solution

The fourth proportional to 189,253.44, 283,881.21 and 56,134.69 is: 84,202.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,253.44 : 283,881.21 = 56,134.69 : x
  2. Step 2: Convert to fraction form
    189,253.44/283,881.21 = 56,134.69/x
  3. Step 3: Cross multiply
    189,253.44x = 283,881.21 × 56,134.69
  4. Step 4: Simplify right side
    189,253.44x = 15,935,583,720.17
  5. Step 5: Solve for x
    x = 15,935,583,720.17/189,253.44
  6. Step 6: Final answer
    x = 84,202.35

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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.