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Finding the Fourth Proportional to 294,352.75, 441,362.92 and 102,137.02

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Solution

The fourth proportional to 294,352.75, 441,362.92 and 102,137.02 is: 153,147.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,352.75 : 441,362.92 = 102,137.02 : x
  2. Step 2: Convert to fraction form
    294,352.75/441,362.92 = 102,137.02/x
  3. Step 3: Cross multiply
    294,352.75x = 441,362.92 × 102,137.02
  4. Step 4: Simplify right side
    294,352.75x = 45,079,493,387.30
  5. Step 5: Solve for x
    x = 45,079,493,387.30/294,352.75
  6. Step 6: Final answer
    x = 153,147.86

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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.