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Finding the Fourth Proportional to 275,073.24, 412,649.40 and 104,357.76

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Solution

The fourth proportional to 275,073.24, 412,649.40 and 104,357.76 is: 156,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,073.24 : 412,649.40 = 104,357.76 : x
  2. Step 2: Convert to fraction form
    275,073.24/412,649.40 = 104,357.76/x
  3. Step 3: Cross multiply
    275,073.24x = 412,649.40 × 104,357.76
  4. Step 4: Simplify right side
    275,073.24x = 43,063,167,049.34
  5. Step 5: Solve for x
    x = 43,063,167,049.34/275,073.24
  6. Step 6: Final answer
    x = 156,551.64

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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.