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Finding the Fourth Proportional to 301,180.50, 415,621.62 and 172,110.78

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Solution

The fourth proportional to 301,180.50, 415,621.62 and 172,110.78 is: 237,508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,180.50 : 415,621.62 = 172,110.78 : x
  2. Step 2: Convert to fraction form
    301,180.50/415,621.62 = 172,110.78/x
  3. Step 3: Cross multiply
    301,180.50x = 415,621.62 × 172,110.78
  4. Step 4: Simplify right side
    301,180.50x = 71,532,961,203.06
  5. Step 5: Solve for x
    x = 71,532,961,203.06/301,180.50
  6. Step 6: Final answer
    x = 237,508.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.