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Finding the Fourth Proportional to 189,240.10, 283,914.93 and 56,123.56

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Solution

The fourth proportional to 189,240.10, 283,914.93 and 56,123.56 is: 84,201.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,240.10 : 283,914.93 = 56,123.56 : x
  2. Step 2: Convert to fraction form
    189,240.10/283,914.93 = 56,123.56/x
  3. Step 3: Cross multiply
    189,240.10x = 283,914.93 × 56,123.56
  4. Step 4: Simplify right side
    189,240.10x = 15,934,316,217.75
  5. Step 5: Solve for x
    x = 15,934,316,217.75/189,240.10
  6. Step 6: Final answer
    x = 84,201.59

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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.