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Finding the Fourth Proportional to 203,296.43, 305,133.24 and 146,428.97

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Solution

The fourth proportional to 203,296.43, 305,133.24 and 146,428.97 is: 219,779.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,296.43 : 305,133.24 = 146,428.97 : x
  2. Step 2: Convert to fraction form
    203,296.43/305,133.24 = 146,428.97/x
  3. Step 3: Cross multiply
    203,296.43x = 305,133.24 × 146,428.97
  4. Step 4: Simplify right side
    203,296.43x = 44,680,345,069.41
  5. Step 5: Solve for x
    x = 44,680,345,069.41/203,296.43
  6. Step 6: Final answer
    x = 219,779.29

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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.