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Finding the Fourth Proportional to 275,493.09, 413,050.96 and 140,295.46

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Solution

The fourth proportional to 275,493.09, 413,050.96 and 140,295.46 is: 210,347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,493.09 : 413,050.96 = 140,295.46 : x
  2. Step 2: Convert to fraction form
    275,493.09/413,050.96 = 140,295.46/x
  3. Step 3: Cross multiply
    275,493.09x = 413,050.96 × 140,295.46
  4. Step 4: Simplify right side
    275,493.09x = 57,949,174,436.64
  5. Step 5: Solve for x
    x = 57,949,174,436.64/275,493.09
  6. Step 6: Final answer
    x = 210,347.11

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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.