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Finding the Fourth Proportional to 275,575.86, 413,455.77 and 107,101.62

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Solution

The fourth proportional to 275,575.86, 413,455.77 and 107,101.62 is: 160,688.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,575.86 : 413,455.77 = 107,101.62 : x
  2. Step 2: Convert to fraction form
    275,575.86/413,455.77 = 107,101.62/x
  3. Step 3: Cross multiply
    275,575.86x = 413,455.77 × 107,101.62
  4. Step 4: Simplify right side
    275,575.86x = 44,281,782,765.35
  5. Step 5: Solve for x
    x = 44,281,782,765.35/275,575.86
  6. Step 6: Final answer
    x = 160,688.18

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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.