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Finding the Fourth Proportional to 275,493.59, 413,051.72 and 140,295.96

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Solution

The fourth proportional to 275,493.59, 413,051.72 and 140,295.96 is: 210,347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,493.59 : 413,051.72 = 140,295.96 : x
  2. Step 2: Convert to fraction form
    275,493.59/413,051.72 = 140,295.96/x
  3. Step 3: Cross multiply
    275,493.59x = 413,051.72 × 140,295.96
  4. Step 4: Simplify right side
    275,493.59x = 57,949,486,885.57
  5. Step 5: Solve for x
    x = 57,949,486,885.57/275,493.59
  6. Step 6: Final answer
    x = 210,347.86

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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.