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Finding the Fourth Proportional to 219,912.10, 329,868.15 and 149,053.30

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Solution

The fourth proportional to 219,912.10, 329,868.15 and 149,053.30 is: 223,579.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,912.10 : 329,868.15 = 149,053.30 : x
  2. Step 2: Convert to fraction form
    219,912.10/329,868.15 = 149,053.30/x
  3. Step 3: Cross multiply
    219,912.10x = 329,868.15 × 149,053.30
  4. Step 4: Simplify right side
    219,912.10x = 49,167,936,322.40
  5. Step 5: Solve for x
    x = 49,167,936,322.40/219,912.10
  6. Step 6: Final answer
    x = 223,579.95

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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.