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Finding the Fourth Proportional to 301,175.86, 451,767.30 and 90,815.62

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Solution

The fourth proportional to 301,175.86, 451,767.30 and 90,815.62 is: 136,224.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,175.86 : 451,767.30 = 90,815.62 : x
  2. Step 2: Convert to fraction form
    301,175.86/451,767.30 = 90,815.62/x
  3. Step 3: Cross multiply
    301,175.86x = 451,767.30 × 90,815.62
  4. Step 4: Simplify right side
    301,175.86x = 41,027,527,445.23
  5. Step 5: Solve for x
    x = 41,027,527,445.23/301,175.86
  6. Step 6: Final answer
    x = 136,224.49

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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.