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Finding the Fourth Proportional to 219,251.14, 328,889.48 and 61,491.90

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Solution

The fourth proportional to 219,251.14, 328,889.48 and 61,491.90 is: 92,241.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,251.14 : 328,889.48 = 61,491.90 : x
  2. Step 2: Convert to fraction form
    219,251.14/328,889.48 = 61,491.90/x
  3. Step 3: Cross multiply
    219,251.14x = 328,889.48 × 61,491.90
  4. Step 4: Simplify right side
    219,251.14x = 20,224,039,015.21
  5. Step 5: Solve for x
    x = 20,224,039,015.21/219,251.14
  6. Step 6: Final answer
    x = 92,241.43

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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.