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Finding the Fourth Proportional to 189,138.57, 283,717.58 and 48,898.41

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Solution

The fourth proportional to 189,138.57, 283,717.58 and 48,898.41 is: 73,350.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,138.57 : 283,717.58 = 48,898.41 : x
  2. Step 2: Convert to fraction form
    189,138.57/283,717.58 = 48,898.41/x
  3. Step 3: Cross multiply
    189,138.57x = 283,717.58 × 48,898.41
  4. Step 4: Simplify right side
    189,138.57x = 13,873,338,306.56
  5. Step 5: Solve for x
    x = 13,873,338,306.56/189,138.57
  6. Step 6: Final answer
    x = 73,350.13

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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.