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Finding the Fourth Proportional to 301,589.09, 416,199.92 and 172,539.68

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Solution

The fourth proportional to 301,589.09, 416,199.92 and 172,539.68 is: 238,108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,589.09 : 416,199.92 = 172,539.68 : x
  2. Step 2: Convert to fraction form
    301,589.09/416,199.92 = 172,539.68/x
  3. Step 3: Cross multiply
    301,589.09x = 416,199.92 × 172,539.68
  4. Step 4: Simplify right side
    301,589.09x = 71,811,001,012.83
  5. Step 5: Solve for x
    x = 71,811,001,012.83/301,589.09
  6. Step 6: Final answer
    x = 238,108.75

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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.